137114946 has 48 divisors (see below), whose sum is σ = 304319808. Its totient is φ = 44604000.

The previous prime is 137114941. The next prime is 137114969. The reversal of 137114946 is 649411731.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137114946.

It is not an unprimeable number, because it can be changed into a prime (137114941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165385 + ... + 166211.

It is an arithmetic number, because the mean of its divisors is an integer number (6339996).

Almost surely, 2^137114946 is an apocalyptic number.

137114946 is an abundant number, since it is smaller than the sum of its proper divisors (167204862).

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

137114946 is a wasteful number, since it uses less digits than its factorization.

137114946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 137114946 is about 11709.6091309659. The cubic root of 137114946 is about 515.6578089977.

The spelling of 137114946 in words is "one hundred thirty-seven million, one hundred fourteen thousand, nine hundred forty-six".