152533487232000 has 3168 divisors, whose sum is σ = 674071429973760. Its totient is φ = 33740126208000.

The previous prime is 152533487231963. The next prime is 152533487232023. The reversal of 152533487232000 is 232784335251.

It is a happy number.

152533487232000 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 334 + 87 + 232 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4920435071985 + ... + 4920435072015.

Almost surely, 2^{152533487232000} is an apocalyptic number.

152533487232000 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 152533487232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337035714986880).

152533487232000 is an abundant number, since it is smaller than the sum of its proper divisors (521537942741760).

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

152533487232000 is an frugal number, since it uses more digits than its factorization.

152533487232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 152533487232000 in words is "one hundred fifty-two trillion, five hundred thirty-three billion, four hundred eighty-seven million, two hundred thirty-two thousand".