137892951 has 24 divisors (see below), whose sum is σ = 230199840. Its totient is φ = 77907456.

The previous prime is 137892913. The next prime is 137893003. The reversal of 137892951 is 159298731.

It is not a de Polignac number, because 137892951 - 2¹³ = 137884759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137892897 and 137892906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137892851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6690 + ... + 17903.

It is an arithmetic number, because the mean of its divisors is an integer number (9591660).

Almost surely, 2^137892951 is an apocalyptic number.

137892951 is a deficient number, since it is larger than the sum of its proper divisors (92306889).

137892951 is a wasteful number, since it uses less digits than its factorization.

137892951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24695 (or 24692 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 137892951 is about 11742.7829325079. The cubic root of 137892951 is about 516.6312694908.

The spelling of 137892951 in words is "one hundred thirty-seven million, eight hundred ninety-two thousand, nine hundred fifty-one".