146390879700 has 216 divisors, whose sum is σ = 494520645528. Its totient is φ = 36007695360.

The previous prime is 146390879681. The next prime is 146390879729. The reversal of 146390879700 is 7978093641.

It is a happy number.

146390879700 is a `hidden beast` number, since 1 + 463 + 90 + 8 + 7 + 97 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 32614192836 + 113776686864 = 180594^2 + 337308^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18868222 + ... + 18875978.

It is an arithmetic number, because the mean of its divisors is an integer number (2289447433).

Almost surely, 2^146390879700 is an apocalyptic number.

146390879700 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 146390879700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247260322764).

146390879700 is an abundant number, since it is smaller than the sum of its proper divisors (348129765828).

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

146390879700 is a wasteful number, since it uses less digits than its factorization.

146390879700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 146390879700 in words is "one hundred forty-six billion, three hundred ninety million, eight hundred seventy-nine thousand, seven hundred".