137051117280 has 576 divisors, whose sum is σ = 585370146816. Its totient is φ = 28366848000.

The previous prime is 137051117237. The next prime is 137051117309. The reversal of 137051117280 is 82711150731.

137051117280 is a `hidden beast` number, since 1 + 3 + 70 + 511 + 1 + 72 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30046200 + ... + 30050760.

It is an arithmetic number, because the mean of its divisors is an integer number (1016267616).

Almost surely, 2^137051117280 is an apocalyptic number.

137051117280 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 137051117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292685073408).

137051117280 is an abundant number, since it is smaller than the sum of its proper divisors (448319029536).

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

137051117280 is a wasteful number, since it uses less digits than its factorization.

137051117280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 137051117280 in words is "one hundred thirty-seven billion, fifty-one million, one hundred seventeen thousand, two hundred eighty".