135716406940 has 48 divisors (see below), whose sum is σ = 285574947840. Its totient is φ = 54178022720.

The previous prime is 135716406937. The next prime is 135716406949. The reversal of 135716406940 is 49604617531.

It is a super-2 number, since 2×135716406940² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135716406949) 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, 24064641 + ... + 24070279.

It is an arithmetic number, because the mean of its divisors is an integer number (5949478080).

Almost surely, 2^135716406940 is an apocalyptic number.

135716406940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135716406940 is an abundant number, since it is smaller than the sum of its proper divisors (149858540900).

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

135716406940 is a wasteful number, since it uses less digits than its factorization.

135716406940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 135716406940 in words is "one hundred thirty-five billion, seven hundred sixteen million, four hundred six thousand, nine hundred forty".