146076840 has 360 divisors, whose sum is σ = 599722110. Its totient is φ = 30820608.

The previous prime is 146076839. The next prime is 146076877. The reversal of 146076840 is 48670641.

146076840 is a `hidden beast` number, since 1 + 4 + 607 + 6 + 8 + 40 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 63011844 + 83064996 = 7938^2 + 9114^2 .

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 = 146076795 and 146076804.

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 89 ways as a sum of consecutive naturals, for example, 11236674 + ... + 11236686.

Almost surely, 2^146076840 is an apocalyptic number.

146076840 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 146076840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299861055).

146076840 is an abundant number, since it is smaller than the sum of its proper divisors (453645270).

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

146076840 is a wasteful number, since it uses less digits than its factorization.

146076840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146076840 is about 12086.2252171635. The cubic root of 146076840 is about 526.6561036889.

The spelling of 146076840 in words is "one hundred forty-six million, seventy-six thousand, eight hundred forty".