152583782400 has 1260 divisors, whose sum is σ = 657264602512. Its totient is φ = 34398535680.

The previous prime is 152583782363. The next prime is 152583782413. The reversal of 152583782400 is 4287385251.

152583782400 is a `hidden beast` number, since 1 + 5 + 258 + 378 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2090188764 + ... + 2090188836.

Almost surely, 2^152583782400 is an apocalyptic number.

152583782400 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 152583782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328632301256).

152583782400 is an abundant number, since it is smaller than the sum of its proper divisors (504680820112).

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

152583782400 is an frugal number, since it uses more digits than its factorization.

152583782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 152583782400 in words is "one hundred fifty-two billion, five hundred eighty-three million, seven hundred eighty-two thousand, four hundred".