146276060040 has 192 divisors, whose sum is σ = 549122146560. Its totient is φ = 33374914560.

The previous prime is 146276060009. The next prime is 146276060041. The reversal of 146276060040 is 40060672641.

146276060040 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 7 + 6 + 0 + 600 + 40 = 666.

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 = 146276059977 and 146276060004.

It is not an unprimeable number, because it can be changed into a prime (146276060041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019104 + ... + 1153743.

It is an arithmetic number, because the mean of its divisors is an integer number (2860011180).

Almost surely, 2^146276060040 is an apocalyptic number.

146276060040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146276060040 is an abundant number, since it is smaller than the sum of its proper divisors (402846086520).

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

146276060040 is a wasteful number, since it uses less digits than its factorization.

146276060040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172892 (or 2172885 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 146276060040 in words is "one hundred forty-six billion, two hundred seventy-six million, sixty thousand, forty".