146442756096 has 1008 divisors, whose sum is σ = 553759030656. Its totient is φ = 36436967424.

The previous prime is 146442756079. The next prime is 146442756121. The reversal of 146442756096 is 690657244641.

146442756096 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 4 + 27 + 5 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×146442756096² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2006065116 + ... + 2006065188.

Almost surely, 2^146442756096 is an apocalyptic number.

146442756096 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 146442756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276879515328).

146442756096 is an abundant number, since it is smaller than the sum of its proper divisors (407316274560).

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

146442756096 is a wasteful number, since it uses less digits than its factorization.

146442756096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 146442756096 in words is "one hundred forty-six billion, four hundred forty-two million, seven hundred fifty-six thousand, ninety-six".