146959680 has 224 divisors, whose sum is σ = 561807360. Its totient is φ = 31795200.

The previous prime is 146959669. The next prime is 146959691. The reversal of 146959680 is 86959641.

146959680 = T₃₀₄ + T₃₀₅ + ... + T₉₆₈.

It is an interprime number because it is at equal distance from previous prime (146959669) and next prime (146959691).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127105 + ... + 128255.

Almost surely, 2^146959680 is an apocalyptic number.

146959680 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 146959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280903680).

146959680 is an abundant number, since it is smaller than the sum of its proper divisors (414847680).

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

146959680 is a wasteful number, since it uses less digits than its factorization.

146959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 146959680 is about 12122.6927701728. The cubic root of 146959680 is about 527.7149517418.

The spelling of 146959680 in words is "one hundred forty-six million, nine hundred fifty-nine thousand, six hundred eighty".