146357406720 has 264 divisors, whose sum is σ = 579572252064. Its totient is φ = 33453047808.

The previous prime is 146357406697. The next prime is 146357406721. The reversal of 146357406720 is 27604753641.

146357406720 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 574 + 0 + 6 + 72 + 0 = 666.

It is a super-3 number, since 3×146357406720³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (146357406721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95692 + ... + 549428.

Almost surely, 2^146357406720 is an apocalyptic number.

146357406720 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 146357406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289786126032).

146357406720 is an abundant number, since it is smaller than the sum of its proper divisors (433214845344).

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

146357406720 is a wasteful number, since it uses less digits than its factorization.

146357406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453775 (or 453754 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 146357406720 in words is "one hundred forty-six billion, three hundred fifty-seven million, four hundred six thousand, seven hundred twenty".