146532455460 has 288 divisors, whose sum is σ = 470069308800. Its totient is φ = 38358230400.

The previous prime is 146532455423. The next prime is 146532455539. The reversal of 146532455460 is 64554235641.

146532455460 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 32 + 4 + 554 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209033110 + ... + 209033810.

It is an arithmetic number, because the mean of its divisors is an integer number (1632185100).

Almost surely, 2^146532455460 is an apocalyptic number.

146532455460 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 146532455460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235034654400).

146532455460 is an abundant number, since it is smaller than the sum of its proper divisors (323536853340).

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

146532455460 is an frugal number, since it uses more digits than its factorization.

146532455460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 146532455460 in words is "one hundred forty-six billion, five hundred thirty-two million, four hundred fifty-five thousand, four hundred sixty".