137490920280 has 384 divisors, whose sum is σ = 524258542080. Its totient is φ = 30594263040.

The previous prime is 137490920269. The next prime is 137490920311. The reversal of 137490920280 is 82029094731.

137490920280 is a `hidden beast` number, since 137 + 490 + 9 + 2 + 0 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60647707 + ... + 60649973.

It is an arithmetic number, because the mean of its divisors is an integer number (1365256620).

Almost surely, 2^137490920280 is an apocalyptic number.

137490920280 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 137490920280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262129271040).

137490920280 is an abundant number, since it is smaller than the sum of its proper divisors (386767621800).

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

137490920280 is a wasteful number, since it uses less digits than its factorization.

137490920280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 137490920280 in words is "one hundred thirty-seven billion, four hundred ninety million, nine hundred twenty thousand, two hundred eighty".