152814012750 has 768 divisors, whose sum is σ = 513051162624. Its totient is φ = 33312384000.

The previous prime is 152814012733. The next prime is 152814012781. The reversal of 152814012750 is 57210418251.

It is a happy number.

152814012750 is a `hidden beast` number, since 1 + 528 + 1 + 4 + 0 + 127 + 5 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1115430682 + ... + 1115430818.

It is an arithmetic number, because the mean of its divisors is an integer number (668035368).

Almost surely, 2^152814012750 is an apocalyptic number.

152814012750 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 152814012750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256525581312).

152814012750 is an abundant number, since it is smaller than the sum of its proper divisors (360237149874).

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

152814012750 is a wasteful number, since it uses less digits than its factorization.

152814012750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

It can be divided in two parts, 1528140 and 12750, that added together give a triangular number (1540890 = T₁₇₅₅).

The spelling of 152814012750 in words is "one hundred fifty-two billion, eight hundred fourteen million, twelve thousand, seven hundred fifty".