152415198720 has 480 divisors, whose sum is σ = 549621072000. Its totient is φ = 40479989760.

The previous prime is 152415198709. The next prime is 152415198731. The reversal of 152415198720 is 27891514251.

152415198720 is a `hidden beast` number, since 1 + 52 + 4 + 1 + 519 + 87 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152415198709) and next prime (152415198731).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305441031 + ... + 305441529.

It is an arithmetic number, because the mean of its divisors is an integer number (1145043900).

Almost surely, 2^152415198720 is an apocalyptic number.

152415198720 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 152415198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274810536000).

152415198720 is an abundant number, since it is smaller than the sum of its proper divisors (397205873280).

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

152415198720 is an frugal number, since it uses more digits than its factorization.

152415198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 152415198720 in words is "one hundred fifty-two billion, four hundred fifteen million, one hundred ninety-eight thousand, seven hundred twenty".