152122464 has 144 divisors (see below), whose sum is σ = 477719424. Its totient is φ = 45619200.

The previous prime is 152122457. The next prime is 152122489. The reversal of 152122464 is 464221251.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153009 + ... + 153999.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^152122464 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 152122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238859712).

152122464 is an abundant number, since it is smaller than the sum of its proper divisors (325596960).

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

152122464 is a wasteful number, since it uses less digits than its factorization.

152122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1050 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 152122464 is about 12333.7935769981. The cubic root of 152122464 is about 533.8236172082.

The spelling of 152122464 in words is "one hundred fifty-two million, one hundred twenty-two thousand, four hundred sixty-four".