152479953408 has 160 divisors (see below), whose sum is σ = 433008892800. Its totient is φ = 47514583040.

The previous prime is 152479953397. The next prime is 152479953419. The reversal of 152479953408 is 804359974251.

It is an interprime number because it is at equal distance from previous prime (152479953397) and next prime (152479953419).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3871093 + ... + 3910283.

It is an arithmetic number, because the mean of its divisors is an integer number (2706305580).

Almost surely, 2^152479953408 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 152479953408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216504446400).

152479953408 is an abundant number, since it is smaller than the sum of its proper divisors (280528939392).

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

152479953408 is a wasteful number, since it uses less digits than its factorization.

152479953408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39378 (or 39362 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 152479953408 in words is "one hundred fifty-two billion, four hundred seventy-nine million, nine hundred fifty-three thousand, four hundred eight".