146135313656200 has 96 divisors (see below), whose sum is σ = 386767612877760. Its totient is φ = 50829674297600.

The previous prime is 146135313656183. The next prime is 146135313656231. The reversal of 146135313656200 is 2656313531641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1443974239 + ... + 1444075438.

It is an arithmetic number, because the mean of its divisors is an integer number (4028829300810).

Almost surely, 2^{146135313656200} is an apocalyptic number.

146135313656200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146135313656200 is an abundant number, since it is smaller than the sum of its proper divisors (240632299221560).

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

146135313656200 is a wasteful number, since it uses less digits than its factorization.

146135313656200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888049727 (or 2888049718 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 146135313656200 in words is "one hundred forty-six trillion, one hundred thirty-five billion, three hundred thirteen million, six hundred fifty-six thousand, two hundred".