152427575040 has 288 divisors, whose sum is σ = 524922746880. Its totient is φ = 37473435648.

The previous prime is 152427575017. The next prime is 152427575051. The reversal of 152427575040 is 40575724251.

152427575040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 152427574983 and 152427575001.

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 31 ways as a sum of consecutive naturals, for example, 56058801 + ... + 56061519.

Almost surely, 2^152427575040 is an apocalyptic number.

152427575040 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 152427575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262461373440).

152427575040 is an abundant number, since it is smaller than the sum of its proper divisors (372495171840).

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

152427575040 is a wasteful number, since it uses less digits than its factorization.

152427575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 42.

The spelling of 152427575040 in words is "one hundred fifty-two billion, four hundred twenty-seven million, five hundred seventy-five thousand, forty".