137213513410340 has 48 divisors (see below), whose sum is σ = 288836772470400. Its totient is φ = 54754310368512.

The previous prime is 137213513410321. The next prime is 137213513410343. The reversal of 137213513410340 is 43014315312731.

It is a junction number, because it is equal to n+sod(n) for n = 137213513410294 and 137213513410303.

It is not an unprimeable number, because it can be changed into a prime (137213513410343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78746456 + ... + 80470064.

It is an arithmetic number, because the mean of its divisors is an integer number (6017432759800).

Almost surely, 2^{137213513410340} is an apocalyptic number.

137213513410340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137213513410340 is an abundant number, since it is smaller than the sum of its proper divisors (151623259060060).

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

137213513410340 is a wasteful number, since it uses less digits than its factorization.

137213513410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733124 (or 1733122 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 137213513410340 in words is "one hundred thirty-seven trillion, two hundred thirteen billion, five hundred thirteen million, four hundred ten thousand, three hundred forty".