152364540000 has 240 divisors, whose sum is σ = 529188892848. Its totient is φ = 38240256000.

The previous prime is 152364539959. The next prime is 152364540001. The reversal of 152364540000 is 45463251.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 152364540000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152364540001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 945312 + ... + 1094688.

Almost surely, 2^152364540000 is an apocalyptic number.

152364540000 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 152364540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264594446424).

152364540000 is an abundant number, since it is smaller than the sum of its proper divisors (376824352848).

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

152364540000 is a wasteful number, since it uses less digits than its factorization.

152364540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149427 (or 149404 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 152364540000 in words is "one hundred fifty-two billion, three hundred sixty-four million, five hundred forty thousand".