152753216 has 112 divisors (see below), whose sum is σ = 382341120. Its totient is φ = 58821120.

The previous prime is 152753207. The next prime is 152753221. The reversal of 152753216 is 612357251.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684881 + ... + 685103.

It is an arithmetic number, because the mean of its divisors is an integer number (3413760).

Almost surely, 2^152753216 is an apocalyptic number.

152753216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152753216 is the 7136-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191170560).

152753216 is an abundant number, since it is smaller than the sum of its proper divisors (229587904).

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

152753216 is a wasteful number, since it uses less digits than its factorization.

152753216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 152753216 is about 12359.3371990572. The cubic root of 152753216 is about 534.5604051929.

The spelling of 152753216 in words is "one hundred fifty-two million, seven hundred fifty-three thousand, two hundred sixteen".