146856240 has 200 divisors, whose sum is σ = 516917808. Its totient is φ = 38638080.

The previous prime is 146856233. The next prime is 146856253. The reversal of 146856240 is 42658641.

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 = 146856195 and 146856204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 848794 + ... + 848966.

Almost surely, 2^146856240 is an apocalyptic number.

146856240 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 146856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258458904).

146856240 is an abundant number, since it is smaller than the sum of its proper divisors (370061568).

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

146856240 is a wasteful number, since it uses less digits than its factorization.

146856240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 146856240 is about 12118.4256403214. The cubic root of 146856240 is about 527.5911090504.

The spelling of 146856240 in words is "one hundred forty-six million, eight hundred fifty-six thousand, two hundred forty".