152991430429600 has 216 divisors, whose sum is σ = 435004152202368. Its totient is φ = 52389515404800.

The previous prime is 152991430429549. The next prime is 152991430429609. The reversal of 152991430429600 is 6924034199251.

It is not an unprimeable number, because it can be changed into a prime (152991430429609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29385009 + ... + 34197391.

It is an arithmetic number, because the mean of its divisors is an integer number (2013908112048).

Almost surely, 2^{152991430429600} is an apocalyptic number.

152991430429600 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 152991430429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217502076101184).

152991430429600 is an abundant number, since it is smaller than the sum of its proper divisors (282012721772768).

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

152991430429600 is a wasteful number, since it uses less digits than its factorization.

152991430429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813228 (or 4813208 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 152991430429600 in words is "one hundred fifty-two trillion, nine hundred ninety-one billion, four hundred thirty million, four hundred twenty-nine thousand, six hundred".