152661075840 has 2304 divisors, whose sum is σ = 725296965120. Its totient is φ = 30349541376.

The previous prime is 152661075839. The next prime is 152661075887. The reversal of 152661075840 is 48570166251.

152661075840 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 61 + 0 + 7 + 584 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2278523487 + ... + 2278523553.

It is an arithmetic number, because the mean of its divisors is an integer number (314799030).

Almost surely, 2^152661075840 is an apocalyptic number.

152661075840 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 152661075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362648482560).

152661075840 is an abundant number, since it is smaller than the sum of its proper divisors (572635889280).

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

152661075840 is a wasteful number, since it uses less digits than its factorization.

152661075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 152661075840 in words is "one hundred fifty-two billion, six hundred sixty-one million, seventy-five thousand, eight hundred forty".