146351076560 has 160 divisors (see below), whose sum is σ = 389551317120. Its totient is φ = 50685696000.

The previous prime is 146351076559. The next prime is 146351076653. The reversal of 146351076560 is 65670153641.

It is a super-2 number, since 2×146351076560² (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 31 ways as a sum of consecutive naturals, for example, 1959095 + ... + 2032425.

It is an arithmetic number, because the mean of its divisors is an integer number (2434695732).

Almost surely, 2^146351076560 is an apocalyptic number.

146351076560 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 146351076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194775658560).

146351076560 is an abundant number, since it is smaller than the sum of its proper divisors (243200240560).

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

146351076560 is a wasteful number, since it uses less digits than its factorization.

146351076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73477 (or 73471 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 146351076560 in words is "one hundred forty-six billion, three hundred fifty-one million, seventy-six thousand, five hundred sixty".