146131151904 has 288 divisors, whose sum is σ = 457388830080. Its totient is φ = 44064055296.

The previous prime is 146131151899. The next prime is 146131151977. The reversal of 146131151904 is 409151131641.

It is a happy number.

146131151904 is a `hidden beast` number, since 1 + 4 + 6 + 131 + 1 + 519 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 15030757 + ... + 15040475.

It is an arithmetic number, because the mean of its divisors is an integer number (1588155660).

Almost surely, 2^146131151904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146131151904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228694415040).

146131151904 is an abundant number, since it is smaller than the sum of its proper divisors (311257678176).

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

146131151904 is a wasteful number, since it uses less digits than its factorization.

146131151904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 146131151904 in words is "one hundred forty-six billion, one hundred thirty-one million, one hundred fifty-one thousand, nine hundred four".