152405532000000 has 756 divisors, whose sum is σ = 550733979421080. Its totient is φ = 40533273600000.

The previous prime is 152405531999953. The next prime is 152405532000019. The reversal of 152405532000000 is 235504251.

It is a happy number.

152405532000000 is a `hidden beast` number, since 1 + 5 + 2 + 405 + 53 + 200 + 0 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14003994559 + ... + 14004005441.

Almost surely, 2^{152405532000000} is an apocalyptic number.

152405532000000 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 152405532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275366989710540).

152405532000000 is an abundant number, since it is smaller than the sum of its proper divisors (398328447421080).

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

152405532000000 is an frugal number, since it uses more digits than its factorization.

152405532000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324 (or 11282 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 152405532000000 its reverse (235504251), we get a palindrome (152405767504251).

The spelling of 152405532000000 in words is "one hundred fifty-two trillion, four hundred five billion, five hundred thirty-two million", and thus it is an aban number.