152142124000 has 192 divisors, whose sum is σ = 379735050240. Its totient is φ = 59900275200.

The previous prime is 152142123983. The next prime is 152142124049. The reversal of 152142124000 is 421241251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73746969 + ... + 73749031.

It is an arithmetic number, because the mean of its divisors is an integer number (1977786720).

Almost surely, 2^152142124000 is an apocalyptic number.

152142124000 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 152142124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189867525120).

152142124000 is an abundant number, since it is smaller than the sum of its proper divisors (227592926240).

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

152142124000 is a wasteful number, since it uses less digits than its factorization.

152142124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 152142124000 its reverse (421241251), we get a palindrome (152563365251).

The spelling of 152142124000 in words is "one hundred fifty-two billion, one hundred forty-two million, one hundred twenty-four thousand".