137770490880 has 528 divisors, whose sum is σ = 531940690944. Its totient is φ = 32682639360.

The previous prime is 137770490839. The next prime is 137770490899. The reversal of 137770490880 is 88094077731.

137770490880 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 70 + 490 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23820469 + ... + 23826251.

Almost surely, 2^137770490880 is an apocalyptic number.

137770490880 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 137770490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265970345472).

137770490880 is an abundant number, since it is smaller than the sum of its proper divisors (394170200064).

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

137770490880 is a wasteful number, since it uses less digits than its factorization.

137770490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 137770490880 in words is "one hundred thirty-seven billion, seven hundred seventy million, four hundred ninety thousand, eight hundred eighty".