152749699846632 has 384 divisors, whose sum is σ = 508124474265600. Its totient is φ = 41640053616000.

The previous prime is 152749699846621. The next prime is 152749699846633. The reversal of 152749699846632 is 236648996947251.

152749699846632 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 4 + 9 + 69 + 98 + 466 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (152749699846633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102424957 + ... + 103905587.

It is an arithmetic number, because the mean of its divisors is an integer number (1323240818400).

Almost surely, 2^{152749699846632} is an apocalyptic number.

152749699846632 is a gapful number since it is divisible by the number (12) 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 152749699846632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254062237132800).

152749699846632 is an abundant number, since it is smaller than the sum of its proper divisors (355374774418968).

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

152749699846632 is a wasteful number, since it uses less digits than its factorization.

152749699846632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480786 (or 1480745 counting only the distinct ones).

The product of its digits is 8465264640, while the sum is 81.

The spelling of 152749699846632 in words is "one hundred fifty-two trillion, seven hundred forty-nine billion, six hundred ninety-nine million, eight hundred forty-six thousand, six hundred thirty-two".