152410097664 has 432 divisors, whose sum is σ = 501961758480. Its totient is φ = 46166630400.

The previous prime is 152410097657. The next prime is 152410097669. The reversal of 152410097664 is 466790014251.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (152410097669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60216079 + ... + 60218609.

It is an arithmetic number, because the mean of its divisors is an integer number (1161948515).

Almost surely, 2^152410097664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152410097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250980879240).

152410097664 is an abundant number, since it is smaller than the sum of its proper divisors (349551660816).

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

152410097664 is an equidigital number, since it uses as much as digits as its factorization.

152410097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 152410097664 in words is "one hundred fifty-two billion, four hundred ten million, ninety-seven thousand, six hundred sixty-four".