152132400052000 has 192 divisors, whose sum is σ = 375400127950848. Its totient is φ = 60590799360000.

The previous prime is 152132400051913. The next prime is 152132400052013. The reversal of 152132400052000 is 250004231251.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11540037409 + ... + 11540050591.

It is an arithmetic number, because the mean of its divisors is an integer number (1955208999744).

Almost surely, 2^{152132400052000} is an apocalyptic number.

152132400052000 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 152132400052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187700063975424).

152132400052000 is an abundant number, since it is smaller than the sum of its proper divisors (223267727898848).

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

152132400052000 is a wasteful number, since it uses less digits than its factorization.

152132400052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25420 (or 25402 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 152132400052000 its reverse (250004231251), we get a palindrome (152382404283251).

The spelling of 152132400052000 in words is "one hundred fifty-two trillion, one hundred thirty-two billion, four hundred million, fifty-two thousand".