137953432590 has 64 divisors (see below), whose sum is σ = 346386087936. Its totient is φ = 35096179712.

The previous prime is 137953432579. The next prime is 137953432681. The reversal of 137953432590 is 95234359731.

It is a super-2 number, since 2×137953432590² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3262 + ... + 525278.

It is an arithmetic number, because the mean of its divisors is an integer number (5412282624).

Almost surely, 2^137953432590 is an apocalyptic number.

137953432590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137953432590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173193043968).

137953432590 is an abundant number, since it is smaller than the sum of its proper divisors (208432655346).

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

137953432590 is a wasteful number, since it uses less digits than its factorization.

137953432590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522433.

The product of its (nonzero) digits is 3061800, while the sum is 51.

The spelling of 137953432590 in words is "one hundred thirty-seven billion, nine hundred fifty-three million, four hundred thirty-two thousand, five hundred ninety".