146157400720 has 160 divisors (see below), whose sum is σ = 370551283200. Its totient is φ = 53404336128.

The previous prime is 146157400709. The next prime is 146157400747. The reversal of 146157400720 is 27004751641.

It is a self number, because there is not a number n which added to its sum of digits gives 146157400720.

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, 6327432 + ... + 6350488.

It is an arithmetic number, because the mean of its divisors is an integer number (2315945520).

Almost surely, 2^146157400720 is an apocalyptic number.

146157400720 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 146157400720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185275641600).

146157400720 is an abundant number, since it is smaller than the sum of its proper divisors (224393882480).

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

146157400720 is a wasteful number, since it uses less digits than its factorization.

146157400720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23225 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 146157400720 in words is "one hundred forty-six billion, one hundred fifty-seven million, four hundred thousand, seven hundred twenty".