137657416 has 16 divisors (see below), whose sum is σ = 277962300. Its totient is φ = 63534144.

The previous prime is 137657411. The next prime is 137657417. The reversal of 137657416 is 614756731.

It can be written as a sum of positive squares in 2 ways, for example, as 137592900 + 64516 = 11730^2 + 254^2 .

It is not an unprimeable number, because it can be changed into a prime (137657411) 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 3 ways as a sum of consecutive naturals, for example, 661711 + ... + 661918.

Almost surely, 2^137657416 is an apocalyptic number.

It is an amenable number.

137657416 is an abundant number, since it is smaller than the sum of its proper divisors (140304884).

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

137657416 is a wasteful number, since it uses less digits than its factorization.

137657416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323648 (or 1323644 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 137657416 is about 11732.7497203341. The cubic root of 137657416 is about 516.3369491642.

The spelling of 137657416 in words is "one hundred thirty-seven million, six hundred fifty-seven thousand, four hundred sixteen".