152746933248 has 1100 divisors, whose sum is σ = 582767881080. Its totient is φ = 39602110464.

The previous prime is 152746933193. The next prime is 152746933327. The reversal of 152746933248 is 842339647251.

152746933248 is a `hidden beast` number, since 1 + 527 + 4 + 6 + 93 + 3 + 24 + 8 = 666.

152746933248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 152746933194 and 152746933203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2588931043 + ... + 2588931101.

Almost surely, 2^152746933248 is an apocalyptic number.

152746933248 is a gapful number since it is divisible by the number (18) 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 152746933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291383940540).

152746933248 is an abundant number, since it is smaller than the sum of its proper divisors (430020947832).

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

152746933248 is an frugal number, since it uses more digits than its factorization.

152746933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 152746933248 in words is "one hundred fifty-two billion, seven hundred forty-six million, nine hundred thirty-three thousand, two hundred forty-eight".