146155200 has 84 divisors (see below), whose sum is σ = 479526600. Its totient is φ = 38973440.

The previous prime is 146155189. The next prime is 146155211. The reversal of 146155200 is 2551641.

It is an interprime number because it is at equal distance from previous prime (146155189) and next prime (146155211).

It is a super-2 number, since 2×146155200² = 42722684974080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10425 + ... + 20024.

It is an arithmetic number, because the mean of its divisors is an integer number (5708650).

Almost surely, 2^146155200 is an apocalyptic number.

146155200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146155200 is an abundant number, since it is smaller than the sum of its proper divisors (333371400).

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

146155200 is a wasteful number, since it uses less digits than its factorization.

146155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30474 (or 30459 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 146155200 is about 12089.4664894693. The cubic root of 146155200 is about 526.7502582339.

The spelling of 146155200 in words is "one hundred forty-six million, one hundred fifty-five thousand, two hundred".