146936880 has 240 divisors, whose sum is σ = 543179520. Its totient is φ = 35430912.

The previous prime is 146936837. The next prime is 146936887. The reversal of 146936880 is 88639641.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (146936887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314407 + ... + 314873.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 2^146936880 is an apocalyptic number.

146936880 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 146936880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271589760).

146936880 is an abundant number, since it is smaller than the sum of its proper divisors (396242640).

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

146936880 is a wasteful number, since it uses less digits than its factorization.

146936880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 146936880 is about 12121.7523485674. The cubic root of 146936880 is about 527.6876596229.

The spelling of 146936880 in words is "one hundred forty-six million, nine hundred thirty-six thousand, eight hundred eighty".