152304372111840 has 384 divisors, whose sum is σ = 525234789072000. Its totient is φ = 36868577034240.

The previous prime is 152304372111767. The next prime is 152304372111851. The reversal of 152304372111840 is 48111273403251.

It is a junction number, because it is equal to n+sod(n) for n = 152304372111792 and 152304372111801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2119748236 + ... + 2119820084.

It is an arithmetic number, because the mean of its divisors is an integer number (1367798929875).

Almost surely, 2^{152304372111840} is an apocalyptic number.

152304372111840 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 152304372111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262617394536000).

152304372111840 is an abundant number, since it is smaller than the sum of its proper divisors (372930416960160).

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

152304372111840 is a wasteful number, since it uses less digits than its factorization.

152304372111840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77510 (or 77502 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 152304372111840 in words is "one hundred fifty-two trillion, three hundred four billion, three hundred seventy-two million, one hundred eleven thousand, eight hundred forty".