135772512 has 24 divisors (see below), whose sum is σ = 356403096. Its totient is φ = 45257472.

The previous prime is 135772493. The next prime is 135772531. The reversal of 135772512 is 215277531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135772493) and next prime (135772531).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 707053 + ... + 707244.

It is an arithmetic number, because the mean of its divisors is an integer number (14850129).

Almost surely, 2^135772512 is an apocalyptic number.

135772512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135772512 is an abundant number, since it is smaller than the sum of its proper divisors (220630584).

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

135772512 is a wasteful number, since it uses less digits than its factorization.

135772512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414310 (or 1414302 counting only the distinct ones).

The product of its digits is 14700, while the sum is 33.

The square root of 135772512 is about 11652.1462400710. The cubic root of 135772512 is about 513.9694249200.

The spelling of 135772512 in words is "one hundred thirty-five million, seven hundred seventy-two thousand, five hundred twelve".