152706401172 has 144 divisors (see below), whose sum is σ = 431347821632. Its totient is φ = 46959264000.

The previous prime is 152706401167. The next prime is 152706401173. The reversal of 152706401172 is 271104607251.

152706401172 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 0 + 640 + 1 + 1 + 7 + 2 = 666.

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 (152706401173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37918623 + ... + 37922649.

Almost surely, 2^152706401172 is an apocalyptic number.

152706401172 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 152706401172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215673910816).

152706401172 is an abundant number, since it is smaller than the sum of its proper divisors (278641420460).

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

152706401172 is a wasteful number, since it uses less digits than its factorization.

152706401172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

It can be divided in two parts, 152706 and 401172, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 152706401172 in words is "one hundred fifty-two billion, seven hundred six million, four hundred one thousand, one hundred seventy-two".