152613542400 has 960 divisors, whose sum is σ = 594799894656. Its totient is φ = 34078720000.

The previous prime is 152613542387. The next prime is 152613542401. The reversal of 152613542400 is 4245316251.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (152613542401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380582200 + ... + 380582600.

Almost surely, 2^152613542400 is an apocalyptic number.

152613542400 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 152613542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297399947328).

152613542400 is an abundant number, since it is smaller than the sum of its proper divisors (442186352256).

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

152613542400 is a wasteful number, since it uses less digits than its factorization.

152613542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 152613542400 its reverse (4245316251), we get a palindrome (156858858651).

The spelling of 152613542400 in words is "one hundred fifty-two billion, six hundred thirteen million, five hundred forty-two thousand, four hundred".