152114251242000 has 320 divisors, whose sum is σ = 492893226528768. Its totient is φ = 40359049920000.

The previous prime is 152114251241969. The next prime is 152114251242001. The reversal of 152114251242000 is 242152411251.

152114251242000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (152114251242001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4520869177 + ... + 4520902823.

Almost surely, 2^{152114251242000} is an apocalyptic number.

152114251242000 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 152114251242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246446613264384).

152114251242000 is an abundant number, since it is smaller than the sum of its proper divisors (340778975286768).

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

152114251242000 is a wasteful number, since it uses less digits than its factorization.

152114251242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37455 (or 37439 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 152114251242000 in words is "one hundred fifty-two trillion, one hundred fourteen billion, two hundred fifty-one million, two hundred forty-two thousand".