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148120960 = 2751319937
BaseRepresentation
bin10001101010000…
…10010110000000
3101022201022202111
420311002112000
5300404332320
622410425104
73446002351
oct1065022600
9338638674
10148120960
1176679519
1241732194
13248c1850
1415959d28
15d00ca5a
hex8d42580

148120960 has 128 divisors (see below), whose sum is σ = 401839200. Its totient is φ = 51757056.

The previous prime is 148120957. The next prime is 148120963. The reversal of 148120960 is 69021841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (148120957) and next prime (148120963).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148120963) 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, 157612 + ... + 158548.

Almost surely, 2148120960 is an apocalyptic number.

148120960 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 148120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200919600).

148120960 is an abundant number, since it is smaller than the sum of its proper divisors (253718240).

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

148120960 is a wasteful number, since it uses less digits than its factorization.

148120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 148120960 is about 12170.4954706043. The cubic root of 148120960 is about 529.1013131379.

The spelling of 148120960 in words is "one hundred forty-eight million, one hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 260 304 320 380 416 494 520 608 640 760 832 937 988 1040 1216 1235 1520 1664 1874 1976 2080 2432 2470 3040 3748 3952 4160 4685 4940 6080 7496 7904 8320 9370 9880 12160 12181 14992 15808 17803 18740 19760 24362 29984 31616 35606 37480 39520 48724 59968 60905 71212 74960 79040 89015 97448 119936 121810 142424 149920 158080 178030 194896 231439 243620 284848 299840 356060 389792 462878 487240 569696 599680 712120 779584 925756 974480 1139392 1157195 1424240 1559168 1851512 1948960 2278784 2314390 2848480 3703024 3897920 4628780 5696960 7406048 7795840 9257560 11393920 14812096 18515120 29624192 37030240 74060480 148120960