137462857320 has 256 divisors, whose sum is σ = 443217991680. Its totient is φ = 34040217600.

The previous prime is 137462857309. The next prime is 137462857321. The reversal of 137462857320 is 23758264731.

It is a self number, because there is not a number n which added to its sum of digits gives 137462857320.

It is not an unprimeable number, because it can be changed into a prime (137462857321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10040880 + ... + 10054560.

It is an arithmetic number, because the mean of its divisors is an integer number (1731320280).

Almost surely, 2^137462857320 is an apocalyptic number.

137462857320 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 137462857320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221608995840).

137462857320 is an abundant number, since it is smaller than the sum of its proper divisors (305755134360).

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

137462857320 is a wasteful number, since it uses less digits than its factorization.

137462857320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13836 (or 13832 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 137462857320 in words is "one hundred thirty-seven billion, four hundred sixty-two million, eight hundred fifty-seven thousand, three hundred twenty".