146724880 has 40 divisors (see below), whose sum is σ = 342667800. Its totient is φ = 58426368.

The previous prime is 146724793. The next prime is 146724881. The reversal of 146724880 is 88427641.

It can be written as a sum of positive squares in 4 ways, for example, as 54641664 + 92083216 = 7392^2 + 9596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×146724880² = 43056380822028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (146724881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14316 + ... + 22324.

It is an arithmetic number, because the mean of its divisors is an integer number (8566695).

Almost surely, 2^146724880 is an apocalyptic number.

146724880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146724880 is an abundant number, since it is smaller than the sum of its proper divisors (195942920).

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

146724880 is a wasteful number, since it uses less digits than its factorization.

146724880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 146724880 is about 12113.0045818533. The cubic root of 146724880 is about 527.4337555230.

The spelling of 146724880 in words is "one hundred forty-six million, seven hundred twenty-four thousand, eight hundred eighty".