152171120 has 80 divisors (see below), whose sum is σ = 370020960. Its totient is φ = 58125312.

The previous prime is 152171099. The next prime is 152171147. The reversal of 152171120 is 21171251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152171092 and 152171101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247934 + ... + 248546.

It is an arithmetic number, because the mean of its divisors is an integer number (4625262).

Almost surely, 2^152171120 is an apocalyptic number.

152171120 is a gapful number since it is divisible by the number (10) 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 152171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185010480).

152171120 is an abundant number, since it is smaller than the sum of its proper divisors (217849840).

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

152171120 is a wasteful number, since it uses less digits than its factorization.

152171120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 152171120 is about 12335.7658862350. The cubic root of 152171120 is about 533.8805252030.

The spelling of 152171120 in words is "one hundred fifty-two million, one hundred seventy-one thousand, one hundred twenty".