152764416 has 204 divisors, whose sum is σ = 517992592. Its totient is φ = 42467328.

The previous prime is 152764411. The next prime is 152764421. The reversal of 152764416 is 614467251.

152764416 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 644 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (152764411) and next prime (152764421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152764411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4128750 + ... + 4128786.

Almost surely, 2^152764416 is an apocalyptic number.

152764416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258996296).

152764416 is an abundant number, since it is smaller than the sum of its proper divisors (365228176).

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

152764416 is an frugal number, since it uses more digits than its factorization.

152764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 152764416 is about 12359.7902894831. The cubic root of 152764416 is about 534.5734696864.

The spelling of 152764416 in words is "one hundred fifty-two million, seven hundred sixty-four thousand, four hundred sixteen".