152529408 has 120 divisors (see below), whose sum is σ = 446846400. Its totient is φ = 50079744.

The previous prime is 152529401. The next prime is 152529409. The reversal of 152529408 is 804925251.

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 (152529401) 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, 363823 + ... + 364241.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^152529408 is an apocalyptic number.

152529408 is a gapful number since it is divisible by the number (18) 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 152529408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

152529408 is an abundant number, since it is smaller than the sum of its proper divisors (294316992).

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

152529408 is an equidigital number, since it uses as much as digits as its factorization.

152529408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 152529408 is about 12350.2796729467. The cubic root of 152529408 is about 534.2992052959.

The spelling of 152529408 in words is "one hundred fifty-two million, five hundred twenty-nine thousand, four hundred eight".