152340289920 has 1280 divisors, whose sum is σ = 686065121280. Its totient is φ = 31352832000.

The previous prime is 152340289841. The next prime is 152340289949. The reversal of 152340289920 is 29982043251.

152340289920 is a `hidden beast` number, since 1 + 5 + 2 + 340 + 289 + 9 + 20 = 666.

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 159 ways as a sum of consecutive naturals, for example, 202849545 + ... + 202850295.

It is an arithmetic number, because the mean of its divisors is an integer number (535988376).

Almost surely, 2^152340289920 is an apocalyptic number.

152340289920 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 152340289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343032560640).

152340289920 is an abundant number, since it is smaller than the sum of its proper divisors (533724831360).

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

152340289920 is a wasteful number, since it uses less digits than its factorization.

152340289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 152340289920 in words is "one hundred fifty-two billion, three hundred forty million, two hundred eighty-nine thousand, nine hundred twenty".