152650967040 has 1512 divisors, whose sum is σ = 653624088390. Its totient is φ = 34159656960.

The previous prime is 152650966943. The next prime is 152650967047. The reversal of 152650967040 is 40769056251.

152650967040 is a `hidden beast` number, since 1 + 526 + 50 + 9 + 6 + 70 + 4 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 65847665664 + 86803301376 = 256608^2 + 294624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (152650967047) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 11742382074 + ... + 11742382086.

Almost surely, 2^152650967040 is an apocalyptic number.

152650967040 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 152650967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326812044195).

152650967040 is an abundant number, since it is smaller than the sum of its proper divisors (500973121350).

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

152650967040 is an equidigital number, since it uses as much as digits as its factorization.

152650967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 152650967040 in words is "one hundred fifty-two billion, six hundred fifty million, nine hundred sixty-seven thousand, forty".