152126822232 has 384 divisors, whose sum is σ = 532307842560. Its totient is φ = 38099496960.

The previous prime is 152126822231. The next prime is 152126822233. The reversal of 152126822232 is 232228621251.

152126822232 is a `hidden beast` number, since 1 + 521 + 2 + 6 + 82 + 22 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (152126822231) and next prime (152126822233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152126822231) 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, 23176183 + ... + 23182745.

It is an arithmetic number, because the mean of its divisors is an integer number (1386218340).

Almost surely, 2^152126822232 is an apocalyptic number.

152126822232 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 152126822232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266153921280).

152126822232 is an abundant number, since it is smaller than the sum of its proper divisors (380181020328).

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

152126822232 is a wasteful number, since it uses less digits than its factorization.

152126822232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743 (or 6736 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 152126822232 in words is "one hundred fifty-two billion, one hundred twenty-six million, eight hundred twenty-two thousand, two hundred thirty-two".