146343951936 has 840 divisors, whose sum is σ = 548933827200. Its totient is φ = 38516954112.

The previous prime is 146343951907. The next prime is 146343951961. The reversal of 146343951936 is 639159343641.

It is a happy number.

146343951936 is a `hidden beast` number, since 1 + 4 + 63 + 4 + 39 + 519 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 300500685 + ... + 300501171.

Almost surely, 2^146343951936 is an apocalyptic number.

146343951936 is a gapful number since it is divisible by the number (16) 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 146343951936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274466913600).

146343951936 is an abundant number, since it is smaller than the sum of its proper divisors (402589875264).

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

146343951936 is an equidigital number, since it uses as much as digits as its factorization.

146343951936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 512 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 146343951936 in words is "one hundred forty-six billion, three hundred forty-three million, nine hundred fifty-one thousand, nine hundred thirty-six".