997120152 has 256 divisors, whose sum is σ = 3392640000. Its totient is φ = 265006080.

The previous prime is 997120139. The next prime is 997120169. The reversal of 997120152 is 251021799.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1752124 + ... + 1752692.

It is an arithmetic number, because the mean of its divisors is an integer number (13252500).

Almost surely, 2^997120152 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 997120152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696320000).

997120152 is an abundant number, since it is smaller than the sum of its proper divisors (2395519848).

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

997120152 is a wasteful number, since it uses less digits than its factorization.

997120152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 997120152 is about 31577.2093763841. The cubic root of 997120152 is about 999.0391276868.

The spelling of 997120152 in words is "nine hundred ninety-seven million, one hundred twenty thousand, one hundred fifty-two".