146115648 has 252 divisors, whose sum is σ = 505919232. Its totient is φ = 40158720.

The previous prime is 146115623. The next prime is 146115707. The reversal of 146115648 is 846511641.

146115648 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×146115648³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874861 + ... + 875027.

It is an arithmetic number, because the mean of its divisors is an integer number (2007616).

Almost surely, 2^146115648 is an apocalyptic number.

146115648 is a gapful number since it is divisible by the number (18) 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 146115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

146115648 is an abundant number, since it is smaller than the sum of its proper divisors (359803584).

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

146115648 is a wasteful number, since it uses less digits than its factorization.

146115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 146115648 is about 12087.8305745903. The cubic root of 146115648 is about 526.7027381871.

The spelling of 146115648 in words is "one hundred forty-six million, one hundred fifteen thousand, six hundred forty-eight".