146355972 has 48 divisors (see below), whose sum is σ = 391007232. Its totient is φ = 41738400.

The previous prime is 146355959. The next prime is 146355973. The reversal of 146355972 is 279553641.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (146355973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56097 + ... + 58647.

It is an arithmetic number, because the mean of its divisors is an integer number (8145984).

Almost surely, 2^146355972 is an apocalyptic number.

146355972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146355972 is an abundant number, since it is smaller than the sum of its proper divisors (244651260).

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

146355972 is a wasteful number, since it uses less digits than its factorization.

146355972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3246 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 146355972 is about 12097.7672320143. The cubic root of 146355972 is about 526.9913451381.

The spelling of 146355972 in words is "one hundred forty-six million, three hundred fifty-five thousand, nine hundred seventy-two".