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152315136 = 283266109
BaseRepresentation
bin10010001010000…
…10010100000000
3101121121102002100
421011002110000
5302443041021
623040350400
73526441311
oct1105022400
9347542070
10152315136
1178a83686
1243015400
132572c8cc
141632c608
15d58a626
hex9142500

152315136 has 54 divisors (see below), whose sum is σ = 439168730. Its totient is φ = 50770944.

The previous prime is 152315113. The next prime is 152315143. The reversal of 152315136 is 631513251.

152315136 is a `hidden beast` number, since 1 + 523 + 1 + 5 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 14017536 = 11760^2 + 3744^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30751 + ... + 35358.

Almost surely, 2152315136 is an apocalyptic number.

152315136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152315136 is an abundant number, since it is smaller than the sum of its proper divisors (286853594).

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

152315136 is an equidigital number, since it uses as much as digits as its factorization.

152315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66131 (or 66114 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 152315136 is about 12341.6018409281. The cubic root of 152315136 is about 534.0488950726.

Adding to 152315136 its reverse (631513251), we get a palindrome (783828387).

The spelling of 152315136 in words is "one hundred fifty-two million, three hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 66109 132218 198327 264436 396654 528872 594981 793308 1057744 1189962 1586616 2115488 2379924 3173232 4230976 4759848 6346464 8461952 9519696 12692928 16923904 19039392 25385856 38078784 50771712 76157568 152315136