152234133000 has 256 divisors, whose sum is σ = 503554371840. Its totient is φ = 38158848000.

The previous prime is 152234132993. The next prime is 152234133019. The reversal of 152234133000 is 331432251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55741635 + ... + 55744365.

It is an arithmetic number, because the mean of its divisors is an integer number (1967009265).

Almost surely, 2^152234133000 is an apocalyptic number.

152234133000 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 152234133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251777185920).

152234133000 is an abundant number, since it is smaller than the sum of its proper divisors (351320238840).

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

152234133000 is a wasteful number, since it uses less digits than its factorization.

152234133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 152234133000 its reverse (331432251), we get a palindrome (152565565251).

The spelling of 152234133000 in words is "one hundred fifty-two billion, two hundred thirty-four million, one hundred thirty-three thousand".