152109296640 has 1584 divisors, whose sum is σ = 668374649280. Its totient is φ = 31791513600.

The previous prime is 152109296609. The next prime is 152109296641. The reversal of 152109296640 is 46692901251.

152109296640 is a `hidden beast` number, since 1 + 521 + 0 + 9 + 29 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152109296641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1506032590 + ... + 1506032690.

Almost surely, 2^152109296640 is an apocalyptic number.

152109296640 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 152109296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334187324640).

152109296640 is an abundant number, since it is smaller than the sum of its proper divisors (516265352640).

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

152109296640 is a wasteful number, since it uses less digits than its factorization.

152109296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 152109296640 in words is "one hundred fifty-two billion, one hundred nine million, two hundred ninety-six thousand, six hundred forty".