137252897280 has 480 divisors, whose sum is σ = 517974526080. Its totient is φ = 34442772480.

The previous prime is 137252897269. The next prime is 137252897323. The reversal of 137252897280 is 82798252731.

137252897280 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 528 + 97 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 19972245 + ... + 19979115.

It is an arithmetic number, because the mean of its divisors is an integer number (1079113596).

Almost surely, 2^137252897280 is an apocalyptic number.

137252897280 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 137252897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258987263040).

137252897280 is an abundant number, since it is smaller than the sum of its proper divisors (380721628800).

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

137252897280 is an equidigital number, since it uses as much as digits as its factorization.

137252897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 137252897280 in words is "one hundred thirty-seven billion, two hundred fifty-two million, eight hundred ninety-seven thousand, two hundred eighty".