152350214940 has 432 divisors, whose sum is σ = 590975409024. Its totient is φ = 31412908800.

The previous prime is 152350214881. The next prime is 152350214957. The reversal of 152350214940 is 49412053251.

152350214940 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 502 + 149 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152350214895 and 152350214904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12703627 + ... + 12715613.

It is an arithmetic number, because the mean of its divisors is an integer number (1367998632).

Almost surely, 2^152350214940 is an apocalyptic number.

152350214940 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 152350214940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295487704512).

152350214940 is an abundant number, since it is smaller than the sum of its proper divisors (438625194084).

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

152350214940 is a wasteful number, since it uses less digits than its factorization.

152350214940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12158 (or 12146 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 152350214940 in words is "one hundred fifty-two billion, three hundred fifty million, two hundred fourteen thousand, nine hundred forty".