146010292040 has 64 divisors (see below), whose sum is σ = 329764608000. Its totient is φ = 58183831552.

The previous prime is 146010292039. The next prime is 146010292049. The reversal of 146010292040 is 40292010641.

It is a junction number, because it is equal to n+sod(n) for n = 146010291994 and 146010292012.

It is not an unprimeable number, because it can be changed into a prime (146010292049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12260729 + ... + 12272631.

It is an arithmetic number, because the mean of its divisors is an integer number (5152572000).

Almost surely, 2^146010292040 is an apocalyptic number.

146010292040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146010292040 is an abundant number, since it is smaller than the sum of its proper divisors (183754315960).

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

146010292040 is a wasteful number, since it uses less digits than its factorization.

146010292040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046 (or 13042 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 146010292040 in words is "one hundred forty-six billion, ten million, two hundred ninety-two thousand, forty".