146870640 has 360 divisors, whose sum is σ = 602023968. Its totient is φ = 31933440.

The previous prime is 146870639. The next prime is 146870729. The reversal of 146870640 is 46078641.

146870640 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146870595 and 146870604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811350 + ... + 811530.

Almost surely, 2^146870640 is an apocalyptic number.

146870640 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 146870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301011984).

146870640 is an abundant number, since it is smaller than the sum of its proper divisors (455153328).

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

146870640 is a wasteful number, since it uses less digits than its factorization.

146870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146870640 is about 12119.0197623405. The cubic root of 146870640 is about 527.6083528159.

The spelling of 146870640 in words is "one hundred forty-six million, eight hundred seventy thousand, six hundred forty".