152897340579840 has 1568 divisors, whose sum is σ = 571935978330480. Its totient is φ = 39172033216512.

The previous prime is 152897340579829. The next prime is 152897340579883. The reversal of 152897340579840 is 48975043798251.

152897340579840 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 9 + 7 + 3 + 4 + 0 + 579 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6709509033984 + 146187831545856 = 2590272^2 + 12090816^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 274501508842 + ... + 274501509398.

Almost surely, 2^{152897340579840} is an apocalyptic number.

152897340579840 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 152897340579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285967989165240).

152897340579840 is an abundant number, since it is smaller than the sum of its proper divisors (419038637750640).

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

152897340579840 is an frugal number, since it uses more digits than its factorization.

152897340579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 152897340579840 in words is "one hundred fifty-two trillion, eight hundred ninety-seven billion, three hundred forty million, five hundred seventy-nine thousand, eight hundred forty".