152772480 has 320 divisors, whose sum is σ = 624998880. Its totient is φ = 34836480.

The previous prime is 152772479. The next prime is 152772481. The reversal of 152772480 is 84277251.

It is an interprime number because it is at equal distance from previous prime (152772479) and next prime (152772481).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152772481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362670 + ... + 363090.

Almost surely, 2^152772480 is an apocalyptic number.

152772480 is a gapful number since it is divisible by the number (10) 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 152772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312499440).

152772480 is an abundant number, since it is smaller than the sum of its proper divisors (472226400).

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

152772480 is an equidigital number, since it uses as much as digits as its factorization.

152772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 152772480 is about 12360.1165043053. The cubic root of 152772480 is about 534.5828757264.

The spelling of 152772480 in words is "one hundred fifty-two million, seven hundred seventy-two thousand, four hundred eighty".