137577600000 has 792 divisors, whose sum is σ = 527612465016. Its totient is φ = 34406400000.

The previous prime is 137577599993. The next prime is 137577600019. The reversal of 137577600000 is 6775731.

It can be written as a sum of positive squares in 12 ways, for example, as 127397597184 + 10180002816 = 356928^2 + 100896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 489599860 + ... + 489600140.

Almost surely, 2^137577600000 is an apocalyptic number.

137577600000 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 137577600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263806232508).

137577600000 is an abundant number, since it is smaller than the sum of its proper divisors (390034865016).

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

137577600000 is an equidigital number, since it uses as much as digits as its factorization.

137577600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The spelling of 137577600000 in words is "one hundred thirty-seven billion, five hundred seventy-seven million, six hundred thousand".