146931408 has 320 divisors, whose sum is σ = 512467200. Its totient is φ = 40310784.

The previous prime is 146931377. The next prime is 146931419. The reversal of 146931408 is 804139641.

146931408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×146931408⁵ (a number of 42 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7733223 + ... + 7733241.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 2^146931408 is an apocalyptic number.

146931408 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 146931408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256233600).

146931408 is an abundant number, since it is smaller than the sum of its proper divisors (365535792).

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

146931408 is a wasteful number, since it uses less digits than its factorization.

146931408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 146931408 is about 12121.5266365256. The cubic root of 146931408 is about 527.6811090943.

The spelling of 146931408 in words is "one hundred forty-six million, nine hundred thirty-one thousand, four hundred eight".