146971440 has 360 divisors, whose sum is σ = 622605984. Its totient is φ = 30412800.

The previous prime is 146971439. The next prime is 146971453. The reversal of 146971440 is 44179641.

146971440 is a `hidden beast` number, since 146 + 9 + 71 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 146971395 and 146971404.

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 71 ways as a sum of consecutive naturals, for example, 609720 + ... + 609960.

Almost surely, 2^146971440 is an apocalyptic number.

146971440 is a gapful number since it is divisible by the number (10) 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 146971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311302992).

146971440 is an abundant number, since it is smaller than the sum of its proper divisors (475634544).

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

146971440 is a wasteful number, since it uses less digits than its factorization.

146971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 146971440 is about 12123.1778012203. The cubic root of 146971440 is about 527.7290276260.

The spelling of 146971440 in words is "one hundred forty-six million, nine hundred seventy-one thousand, four hundred forty".