146731253760 has 1200 divisors, whose sum is σ = 650101474176. Its totient is φ = 30958682112.

The previous prime is 146731253749. The next prime is 146731253807. The reversal of 146731253760 is 67352137641.

146731253760 is a `hidden beast` number, since 1 + 46 + 7 + 3 + 12 + 537 + 60 = 666.

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 79 ways as a sum of consecutive naturals, for example, 11287019514 + ... + 11287019526.

Almost surely, 2^146731253760 is an apocalyptic number.

146731253760 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 146731253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325050737088).

146731253760 is an abundant number, since it is smaller than the sum of its proper divisors (503370220416).

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

146731253760 is an frugal number, since it uses more digits than its factorization.

146731253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 146731253760 in words is "one hundred forty-six billion, seven hundred thirty-one million, two hundred fifty-three thousand, seven hundred sixty".