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137160401 = 7295771171
BaseRepresentation
bin10000010110011…
…10011011010001
3100120002110200212
420023032123101
5240103113101
621335453505
73253562360
oct1013163321
9316073625
10137160401
1170472704
1239b27295
1322554a01
14143057d7
15c0951bb
hex82ce6d1

137160401 has 16 divisors (see below), whose sum is σ = 162579840. Its totient is φ = 113218560.

The previous prime is 137160389. The next prime is 137160409. The reversal of 137160401 is 104061731.

It is a de Polignac number, because none of the positive numbers 2k-137160401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137160409) 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 15 ways as a sum of consecutive naturals, for example, 116546 + ... + 117716.

It is an arithmetic number, because the mean of its divisors is an integer number (10161240).

Almost surely, 2137160401 is an apocalyptic number.

It is an amenable number.

137160401 is a deficient number, since it is larger than the sum of its proper divisors (25419439).

137160401 is a wasteful number, since it uses less digits than its factorization.

137160401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 137160401 is about 11711.5498974303. The cubic root of 137160401 is about 515.7147846393.

The spelling of 137160401 in words is "one hundred thirty-seven million, one hundred sixty thousand, four hundred one".

Divisors: 1 7 29 203 577 1171 4039 8197 16733 33959 117131 237713 675667 4729669 19594343 137160401