146490905700 has 360 divisors, whose sum is σ = 504197416800. Its totient is φ = 36664151040.

The previous prime is 146490905663. The next prime is 146490905723. The reversal of 146490905700 is 7509094641.

146490905700 is a `hidden beast` number, since 1 + 4 + 6 + 490 + 90 + 5 + 70 + 0 = 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 119 ways as a sum of consecutive naturals, for example, 57695031 + ... + 57697569.

It is an arithmetic number, because the mean of its divisors is an integer number (1400548380).

Almost surely, 2^146490905700 is an apocalyptic number.

146490905700 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 146490905700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252098708400).

146490905700 is an abundant number, since it is smaller than the sum of its proper divisors (357706511100).

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

146490905700 is a wasteful number, since it uses less digits than its factorization.

146490905700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 146490905700 in words is "one hundred forty-six billion, four hundred ninety million, nine hundred five thousand, seven hundred".