152532435000 has 320 divisors, whose sum is σ = 542445361920. Its totient is φ = 35368960000.

The previous prime is 152532434983. The next prime is 152532435001. The reversal of 152532435000 is 534235251.

It is a super-2 number, since 2×152532435000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152532435001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3774904 + ... + 3815096.

It is an arithmetic number, because the mean of its divisors is an integer number (1695141756).

Almost surely, 2^152532435000 is an apocalyptic number.

152532435000 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 152532435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271222680960).

152532435000 is an abundant number, since it is smaller than the sum of its proper divisors (389912926920).

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

152532435000 is a wasteful number, since it uses less digits than its factorization.

152532435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40256 (or 40237 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 152532435000 in words is "one hundred fifty-two billion, five hundred thirty-two million, four hundred thirty-five thousand".