146961255424 has 176 divisors, whose sum is σ = 310331750400. Its totient is φ = 69488640000.

The previous prime is 146961255401. The next prime is 146961255431. The reversal of 146961255424 is 424552169641.

It is a super-2 number, since 2×146961255424² (a number of 23 digits) contains 22 as substring.

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, 195687049 + ... + 195687799.

Almost surely, 2^146961255424 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 146961255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155165875200).

146961255424 is an abundant number, since it is smaller than the sum of its proper divisors (163370494976).

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

146961255424 is an equidigital number, since it uses as much as digits as its factorization.

146961255424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 932 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

The spelling of 146961255424 in words is "one hundred forty-six billion, nine hundred sixty-one million, two hundred fifty-five thousand, four hundred twenty-four".