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148134680 = 23537101991
BaseRepresentation
bin10001101010001…
…01101100011000
3101022202000120122
420311011230120
5300410302210
622411012412
73446060351
oct1065055430
9338660518
10148134680
1176688861
124173a108
13248c7b75
1415960d28
15d011b55
hex8d45b18

148134680 has 64 divisors (see below), whose sum is σ = 346049280. Its totient is φ = 57024000.

The previous prime is 148134677. The next prime is 148134683. The reversal of 148134680 is 86431841.

It is an interprime number because it is at equal distance from previous prime (148134677) and next prime (148134683).

It is a self number, because there is not a number n which added to its sum of digits gives 148134680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148134683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148985 + ... + 149975.

It is an arithmetic number, because the mean of its divisors is an integer number (5407020).

Almost surely, 2148134680 is an apocalyptic number.

148134680 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 148134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173024640).

148134680 is an abundant number, since it is smaller than the sum of its proper divisors (197914600).

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

148134680 is a wasteful number, since it uses less digits than its factorization.

148134680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 148134680 is about 12171.0591157877. The cubic root of 148134680 is about 529.1176489891.

The spelling of 148134680 in words is "one hundred forty-eight million, one hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 101 148 185 202 296 370 404 505 740 808 991 1010 1480 1982 2020 3737 3964 4040 4955 7474 7928 9910 14948 18685 19820 29896 36667 37370 39640 73334 74740 100091 146668 149480 183335 200182 293336 366670 400364 500455 733340 800728 1000910 1466680 2001820 3703367 4003640 7406734 14813468 18516835 29626936 37033670 74067340 148134680