146400629760 has 1320 divisors, whose sum is σ = 658283758080. Its totient is φ = 29439590400.

The previous prime is 146400629759. The next prime is 146400629773. The reversal of 146400629760 is 67926004641.

146400629760 is a `hidden beast` number, since 1 + 46 + 400 + 62 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4722600945 + ... + 4722600975.

Almost surely, 2^146400629760 is an apocalyptic number.

146400629760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146400629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329141879040).

146400629760 is an abundant number, since it is smaller than the sum of its proper divisors (511883128320).

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

146400629760 is an equidigital number, since it uses as much as digits as its factorization.

146400629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 146400629760 in words is "one hundred forty-six billion, four hundred million, six hundred twenty-nine thousand, seven hundred sixty".