137964911 has 32 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 106560000.

The previous prime is 137964899. The next prime is 137964913. The reversal of 137964911 is 119469731.

It is a cyclic number.

It is not a de Polignac number, because 137964911 - 2²² = 133770607 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137964913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549536 + ... + 549786.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^137964911 is an apocalyptic number.

137964911 is a deficient number, since it is larger than the sum of its proper divisors (36217489).

137964911 is a wasteful number, since it uses less digits than its factorization.

137964911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its digits is 40824, while the sum is 41.

The square root of 137964911 is about 11745.8465425017. The cubic root of 137964911 is about 516.7211225756.

The spelling of 137964911 in words is "one hundred thirty-seven million, nine hundred sixty-four thousand, nine hundred eleven".