152435584900 has 27 divisors (see below), whose sum is σ = 330793691781. Its totient is φ = 60972672240.

The previous prime is 152435584897. The next prime is 152435584907. The reversal of 152435584900 is 9485534251.

The square root of 152435584900 is 390430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54876810564 + 97558774336 = 234258^2 + 312344^2 .

It is a super-3 number, since 3×152435584900³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152435584907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3884779 + ... + 3923821.

Almost surely, 2^152435584900 is an apocalyptic number.

152435584900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152435584900 is the 390430-th square number.

It is an amenable number.

152435584900 is an abundant number, since it is smaller than the sum of its proper divisors (178358106881).

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

152435584900 is an frugal number, since it uses more digits than its factorization.

152435584900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78100 (or 39050 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 152435584900 in words is "one hundred fifty-two billion, four hundred thirty-five million, five hundred eighty-four thousand, nine hundred".