137646390 has 48 divisors (see below), whose sum is σ = 384290352. Its totient is φ = 31461696.

The previous prime is 137646359. The next prime is 137646413. The reversal of 137646390 is 93646731.

It is a congruent number.

It is an unprimeable number.

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, 45349 + ... + 48288.

It is an arithmetic number, because the mean of its divisors is an integer number (8006049).

Almost surely, 2^137646390 is an apocalyptic number.

137646390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137646390 is an abundant number, since it is smaller than the sum of its proper divisors (246643962).

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

137646390 is a wasteful number, since it uses less digits than its factorization.

137646390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93661 (or 93654 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 137646390 is about 11732.2798295983. The cubic root of 137646390 is about 516.3231630484.

It can be divided in two parts, 1376463 and 90, that multiplied together give a triangular number (123881670 = T₁₅₇₄₀).

The spelling of 137646390 in words is "one hundred thirty-seven million, six hundred forty-six thousand, three hundred ninety".