135872416 has 48 divisors (see below), whose sum is σ = 275063040. Its totient is φ = 66044160.

The previous prime is 135872413. The next prime is 135872419. The reversal of 135872416 is 614278531.

It is an interprime number because it is at equal distance from previous prime (135872413) and next prime (135872419).

It is a super-2 number, since 2×135872416² = 36922626859354112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135872413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179110 + ... + 179866.

It is an arithmetic number, because the mean of its divisors is an integer number (5730480).

Almost surely, 2^135872416 is an apocalyptic number.

135872416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135872416 is an abundant number, since it is smaller than the sum of its proper divisors (139190624).

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

135872416 is an equidigital number, since it uses as much as digits as its factorization.

135872416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 135872416 is about 11656.4323873130. The cubic root of 135872416 is about 514.0954568432.

The spelling of 135872416 in words is "one hundred thirty-five million, eight hundred seventy-two thousand, four hundred sixteen".