970152144 has 120 divisors (see below), whose sum is σ = 2822423520. Its totient is φ = 285432576.

The previous prime is 970152137. The next prime is 970152149. The reversal of 970152144 is 441251079.

It is a happy number.

970152144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970152149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328627 + ... + 331565.

It is an arithmetic number, because the mean of its divisors is an integer number (23520196).

Almost surely, 2^970152144 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 970152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411211760).

970152144 is an abundant number, since it is smaller than the sum of its proper divisors (1852271376).

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

970152144 is a wasteful number, since it uses less digits than its factorization.

970152144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 970152144 is about 31147.2654337423. The cubic root of 970152144 is about 989.9500515561.

The spelling of 970152144 in words is "nine hundred seventy million, one hundred fifty-two thousand, one hundred forty-four".