146020791353580 has 1920 divisors, whose sum is σ = 570163907174400. Its totient is φ = 30792661401600.

The previous prime is 146020791353519. The next prime is 146020791353617. The reversal of 146020791353580 is 85353197020641.

It is a happy number.

146020791353580 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 2 + 0 + 7 + 9 + 1 + 3 + 53 + 580 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 157180614556 + ... + 157180615484.

It is an arithmetic number, because the mean of its divisors is an integer number (296960368320).

It is a 1-persistent number, because it is pandigital, but 2⋅146020791353580 = 292041582707160 is not.

Almost surely, 2^{146020791353580} is an apocalyptic number.

146020791353580 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 146020791353580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285081953587200).

146020791353580 is an abundant number, since it is smaller than the sum of its proper divisors (424143115820820).

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

146020791353580 is a wasteful number, since it uses less digits than its factorization.

146020791353580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 146020791353580 in words is "one hundred forty-six trillion, twenty billion, seven hundred ninety-one million, three hundred fifty-three thousand, five hundred eighty".