146215872 has 168 divisors, whose sum is σ = 467880192. Its totient is φ = 43276800.

The previous prime is 146215859. The next prime is 146215877. The reversal of 146215872 is 278512641.

146215872 is a `hidden beast` number, since 14 + 62 + 1 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146215877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297547 + ... + 298037.

Almost surely, 2^146215872 is an apocalyptic number.

146215872 is a gapful number since it is divisible by the number (12) 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 146215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233940096).

146215872 is an abundant number, since it is smaller than the sum of its proper divisors (321664320).

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

146215872 is a wasteful number, since it uses less digits than its factorization.

146215872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 554 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 146215872 is about 12091.9755209808. The cubic root of 146215872 is about 526.8231364036.

The spelling of 146215872 in words is "one hundred forty-six million, two hundred fifteen thousand, eight hundred seventy-two".