146457400320 has 704 divisors, whose sum is σ = 648961228800. Its totient is φ = 30430494720.

The previous prime is 146457400259. The next prime is 146457400333. The reversal of 146457400320 is 23004754641.

146457400320 is a `hidden beast` number, since 1 + 4 + 64 + 574 + 0 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×146457400320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10637601 + ... + 10651359.

Almost surely, 2^146457400320 is an apocalyptic number.

146457400320 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 146457400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324480614400).

146457400320 is an abundant number, since it is smaller than the sum of its proper divisors (502503828480).

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

146457400320 is a wasteful number, since it uses less digits than its factorization.

146457400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13811 (or 13787 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 146457400320 in words is "one hundred forty-six billion, four hundred fifty-seven million, four hundred thousand, three hundred twenty".