152465846400 has 960 divisors, whose sum is σ = 680970343680. Its totient is φ = 32792739840.

The previous prime is 152465846371. The next prime is 152465846411. The reversal of 152465846400 is 4648564251.

It is a happy number.

152465846400 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 6 + 584 + 64 + 0 + 0 = 666.

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 (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30842329 + ... + 30847271.

It is an arithmetic number, because the mean of its divisors is an integer number (709344108).

Almost surely, 2^152465846400 is an apocalyptic number.

152465846400 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 152465846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340485171840).

152465846400 is an abundant number, since it is smaller than the sum of its proper divisors (528504497280).

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

152465846400 is a wasteful number, since it uses less digits than its factorization.

152465846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 152465846400 in words is "one hundred fifty-two billion, four hundred sixty-five million, eight hundred forty-six thousand, four hundred".