135891672 has 64 divisors (see below), whose sum is σ = 389280000. Its totient is φ = 38724480.

The previous prime is 135891661. The next prime is 135891677. The reversal of 135891672 is 276198531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135891677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83022 + ... + 84642.

It is an arithmetic number, because the mean of its divisors is an integer number (6082500).

Almost surely, 2^135891672 is an apocalyptic number.

135891672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135891672 is an abundant number, since it is smaller than the sum of its proper divisors (253388328).

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

135891672 is a wasteful number, since it uses less digits than its factorization.

135891672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 135891672 is about 11657.2583397641. The cubic root of 135891672 is about 514.1197417687.

The spelling of 135891672 in words is "one hundred thirty-five million, eight hundred ninety-one thousand, six hundred seventy-two".