137692620 has 216 divisors, whose sum is σ = 477627696. Its totient is φ = 31912704.

The previous prime is 137692591. The next prime is 137692627. The reversal of 137692620 is 26296731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137692627) 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 71 ways as a sum of consecutive naturals, for example, 844659 + ... + 844821.

Almost surely, 2^137692620 is an apocalyptic number.

137692620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137692620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238813848).

137692620 is an abundant number, since it is smaller than the sum of its proper divisors (339935076).

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

137692620 is a wasteful number, since it uses less digits than its factorization.

137692620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 137692620 is about 11734.2498695059. The cubic root of 137692620 is about 516.3809607818.

The spelling of 137692620 in words is "one hundred thirty-seven million, six hundred ninety-two thousand, six hundred twenty".