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151090137 = 33112112411
BaseRepresentation
bin10010000000101…
…11001111011001
3101112022011201000
421000113033121
5302134341022
622554215213
73513150012
oct1100271731
9345264630
10151090137
1178317290
1242724509
13253c1163
14160d0009
15d3e76ac
hex90173d9

151090137 has 32 divisors (see below), whose sum is σ = 245445120. Its totient is φ = 91098000.

The previous prime is 151090133. The next prime is 151090157. The reversal of 151090137 is 731090151.

It is a happy number.

It is not a de Polignac number, because 151090137 - 22 = 151090133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 151090137.

It is not an unprimeable number, because it can be changed into a prime (151090133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61462 + ... + 63872.

It is an arithmetic number, because the mean of its divisors is an integer number (7670160).

Almost surely, 2151090137 is an apocalyptic number.

It is an amenable number.

151090137 is a deficient number, since it is larger than the sum of its proper divisors (94354983).

151090137 is a wasteful number, since it uses less digits than its factorization.

151090137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 151090137 is about 12291.8728027913. The cubic root of 151090137 is about 532.6133383032.

The spelling of 151090137 in words is "one hundred fifty-one million, ninety thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 27 33 99 211 297 633 1899 2321 2411 5697 6963 7233 20889 21699 26521 62667 65097 79563 238689 508721 716067 1526163 4578489 5595931 13735467 16787793 50363379 151090137