152438332800 has 576 divisors, whose sum is σ = 565492712400. Its totient is φ = 35876290560.

The previous prime is 152438332789. The next prime is 152438332847. The reversal of 152438332800 is 8233834251.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66018046 + ... + 66020354.

Almost surely, 2^152438332800 is an apocalyptic number.

152438332800 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 152438332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282746356200).

152438332800 is an abundant number, since it is smaller than the sum of its proper divisors (413054379600).

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

152438332800 is a wasteful number, since it uses less digits than its factorization.

152438332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 152438332800 in words is "one hundred fifty-two billion, four hundred thirty-eight million, three hundred thirty-two thousand, eight hundred".