137057536 has 144 divisors (see below), whose sum is σ = 362033280. Its totient is φ = 50135040.

The previous prime is 137057533. The next prime is 137057549. The reversal of 137057536 is 635750731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 137057495 and 137057504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137057533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334900 + ... + 335308.

It is an arithmetic number, because the mean of its divisors is an integer number (2514120).

Almost surely, 2^137057536 is an apocalyptic number.

137057536 is a gapful number since it is divisible by the number (16) 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 137057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181016640).

137057536 is an abundant number, since it is smaller than the sum of its proper divisors (224975744).

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

137057536 is a wasteful number, since it uses less digits than its factorization.

137057536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 37.

The square root of 137057536 is about 11707.1574688308. The cubic root of 137057536 is about 515.5858303444.

The spelling of 137057536 in words is "one hundred thirty-seven million, fifty-seven thousand, five hundred thirty-six".