152564261652500 has 480 divisors, whose sum is σ = 382781982756096. Its totient is φ = 52863528960000.

The previous prime is 152564261652499. The next prime is 152564261652529. The reversal of 152564261652500 is 5256162465251.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2925631427 + ... + 2925683573.

Almost surely, 2^{152564261652500} is an apocalyptic number.

152564261652500 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 152564261652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191390991378048).

152564261652500 is an abundant number, since it is smaller than the sum of its proper divisors (230217721103596).

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

152564261652500 is a wasteful number, since it uses less digits than its factorization.

152564261652500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52325 (or 52308 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 50.

The spelling of 152564261652500 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, two hundred sixty-one million, six hundred fifty-two thousand, five hundred".