152469504 has 192 divisors, whose sum is σ = 490726080. Its totient is φ = 45219840.

The previous prime is 152469503. The next prime is 152469521. The reversal of 152469504 is 405964251.

152469504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×152469504³ (a number of 26 digits) contains 333 as substring.

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 (152469503) 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, 3244009 + ... + 3244055.

It is an arithmetic number, because the mean of its divisors is an integer number (2555865).

Almost surely, 2^152469504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245363040).

152469504 is an abundant number, since it is smaller than the sum of its proper divisors (338256576).

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

152469504 is an equidigital number, since it uses as much as digits as its factorization.

152469504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 152469504 is about 12347.8542265448. The cubic root of 152469504 is about 534.2292497138.

The spelling of 152469504 in words is "one hundred fifty-two million, four hundred sixty-nine thousand, five hundred four".