152764708950 has 288 divisors, whose sum is σ = 508209901056. Its totient is φ = 32098913280.

The previous prime is 152764708909. The next prime is 152764708963. The reversal of 152764708950 is 59807467251.

152764708950 is a `hidden beast` number, since 1 + 52 + 76 + 470 + 8 + 9 + 50 = 666.

152764708950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2269479 + ... + 2335821.

It is an arithmetic number, because the mean of its divisors is an integer number (1764617712).

Almost surely, 2^152764708950 is an apocalyptic number.

152764708950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152764708950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254104950528).

152764708950 is an abundant number, since it is smaller than the sum of its proper divisors (355445192106).

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

152764708950 is a wasteful number, since it uses less digits than its factorization.

152764708950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66428 (or 66420 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 152764708950 in words is "one hundred fifty-two billion, seven hundred sixty-four million, seven hundred eight thousand, nine hundred fifty".