146979540 has 144 divisors (see below), whose sum is σ = 474299280. Its totient is φ = 36771840.

The previous prime is 146979529. The next prime is 146979559. The reversal of 146979540 is 45979641.

146979540 is a `hidden beast` number, since 14 + 6 + 97 + 9 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5702544 + 141276996 = 2388^2 + 11886^2 .

It is a super-2 number, since 2×146979540² = 43205970357223200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192760 + ... + 193520.

It is an arithmetic number, because the mean of its divisors is an integer number (3293745).

Almost surely, 2^146979540 is an apocalyptic number.

146979540 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 146979540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149640).

146979540 is an abundant number, since it is smaller than the sum of its proper divisors (327319740).

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

146979540 is a wasteful number, since it uses less digits than its factorization.

146979540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 146979540 is about 12123.5118674417. The cubic root of 146979540 is about 527.7387223136.

The spelling of 146979540 in words is "one hundred forty-six million, nine hundred seventy-nine thousand, five hundred forty".