152052001920 has 1152 divisors, whose sum is σ = 680918238000. Its totient is φ = 30953373696.

The previous prime is 152052001903. The next prime is 152052001939. The reversal of 152052001920 is 29100250251.

152052001920 is a `hidden beast` number, since 1 + 52 + 0 + 520 + 0 + 1 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10814336064 + 141237665856 = 103992^2 + 375816^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×152052001920² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106403766 + ... + 106405194.

Almost surely, 2^152052001920 is an apocalyptic number.

152052001920 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 152052001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340459119000).

152052001920 is an abundant number, since it is smaller than the sum of its proper divisors (528866236080).

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

152052001920 is a wasteful number, since it uses less digits than its factorization.

152052001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 152052001920 in words is "one hundred fifty-two billion, fifty-two million, one thousand, nine hundred twenty".