146309250240 has 672 divisors, whose sum is σ = 546692328000. Its totient is φ = 37247164416.

The previous prime is 146309250221. The next prime is 146309250271. The reversal of 146309250240 is 42052903641.

It is a happy number.

146309250240 is a `hidden beast` number, since 1 + 4 + 63 + 0 + 92 + 502 + 4 + 0 = 666.

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 = 146309250195 and 146309250204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1643924116 + ... + 1643924204.

It is an arithmetic number, because the mean of its divisors is an integer number (813530250).

Almost surely, 2^146309250240 is an apocalyptic number.

146309250240 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 146309250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273346164000).

146309250240 is an abundant number, since it is smaller than the sum of its proper divisors (400383077760).

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

146309250240 is an frugal number, since it uses more digits than its factorization.

146309250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 146309250240 in words is "one hundred forty-six billion, three hundred nine million, two hundred fifty thousand, two hundred forty".