146970624 has 96 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 46374912.

The previous prime is 146970613. The next prime is 146970631. The reversal of 146970624 is 426079641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116107 + ... + 117365.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^146970624 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 146970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

146970624 is an abundant number, since it is smaller than the sum of its proper divisors (265805376).

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

146970624 is a wasteful number, since it uses less digits than its factorization.

146970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 146970624 is about 12123.1441466313. The cubic root of 146970624 is about 527.7280509562.

The spelling of 146970624 in words is "one hundred forty-six million, nine hundred seventy thousand, six hundred twenty-four".