137953536 has 144 divisors (see below), whose sum is σ = 426983424. Its totient is φ = 38725632.

The previous prime is 137953531. The next prime is 137953537. The reversal of 137953536 is 635359731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (137953531) 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, 360001 + ... + 360383.

Almost surely, 2^137953536 is an apocalyptic number.

137953536 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 137953536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213491712).

137953536 is an abundant number, since it is smaller than the sum of its proper divisors (289029888).

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

137953536 is an equidigital number, since it uses as much as digits as its factorization.

137953536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its digits is 255150, while the sum is 42.

The square root of 137953536 is about 11745.3623188048. The cubic root of 137953536 is about 516.7069212248.

The spelling of 137953536 in words is "one hundred thirty-seven million, nine hundred fifty-three thousand, five hundred thirty-six".