152746235676 has 168 divisors, whose sum is σ = 410277713664. Its totient is φ = 49713484320.

The previous prime is 152746235657. The next prime is 152746235701. The reversal of 152746235676 is 676532647251.

152746235676 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 4 + 623 + 5 + 6 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 71677131 + ... + 71679261.

It is an arithmetic number, because the mean of its divisors is an integer number (2442129248).

Almost surely, 2^152746235676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152746235676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205138856832).

152746235676 is an abundant number, since it is smaller than the sum of its proper divisors (257531477988).

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

152746235676 is a wasteful number, since it uses less digits than its factorization.

152746235676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2706 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 152746235676 in words is "one hundred fifty-two billion, seven hundred forty-six million, two hundred thirty-five thousand, six hundred seventy-six".