146903680 has 192 divisors, whose sum is σ = 442794240. Its totient is φ = 45619200.

The previous prime is 146903657. The next prime is 146903683. The reversal of 146903680 is 86309641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146903683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541945 + ... + 542215.

It is an arithmetic number, because the mean of its divisors is an integer number (2306220).

Almost surely, 2^146903680 is an apocalyptic number.

146903680 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 146903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221397120).

146903680 is an abundant number, since it is smaller than the sum of its proper divisors (295890560).

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

146903680 is a wasteful number, since it uses less digits than its factorization.

146903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 146903680 is about 12120.3828322376. The cubic root of 146903680 is about 527.6479134182.

The spelling of 146903680 in words is "one hundred forty-six million, nine hundred three thousand, six hundred eighty".