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148237920 = 25325113911
BaseRepresentation
bin10001101010111…
…10111001100000
3101022221021012100
420311132321200
5300422103140
622413130400
73450000345
oct1065367140
9338837170
10148237920
1176749386
1241789a00
1324932b5c
141598a7cc
15d032530
hex8d5ee60

148237920 has 144 divisors (see below), whose sum is σ = 510898752. Its totient is φ = 39137280.

The previous prime is 148237871. The next prime is 148237927. The reversal of 148237920 is 29732841.

148237920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148237927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162265 + ... + 163175.

It is an arithmetic number, because the mean of its divisors is an integer number (3547908).

Almost surely, 2148237920 is an apocalyptic number.

148237920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255449376).

148237920 is an abundant number, since it is smaller than the sum of its proper divisors (362660832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148237920 is a wasteful number, since it uses less digits than its factorization.

148237920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 148237920 is about 12175.2995856365. The cubic root of 148237920 is about 529.2405403578.

The spelling of 148237920 in words is "one hundred forty-eight million, two hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 113 120 144 160 180 226 240 288 339 360 452 480 565 678 720 904 911 1017 1130 1356 1440 1695 1808 1822 2034 2260 2712 2733 3390 3616 3644 4068 4520 4555 5085 5424 5466 6780 7288 8136 8199 9040 9110 10170 10848 10932 13560 13665 14576 16272 16398 18080 18220 20340 21864 27120 27330 29152 32544 32796 36440 40680 40995 43728 54240 54660 65592 72880 81360 81990 87456 102943 109320 131184 145760 162720 163980 205886 218640 262368 308829 327960 411772 437280 514715 617658 655920 823544 926487 1029430 1235316 1311840 1544145 1647088 1852974 2058860 2470632 3088290 3294176 3705948 4117720 4632435 4941264 6176580 7411896 8235440 9264870 9882528 12353160 14823792 16470880 18529740 24706320 29647584 37059480 49412640 74118960 148237920