153146460440 has 32 divisors (see below), whose sum is σ = 364848922080. Its totient is φ = 57655137792.

The previous prime is 153146460427. The next prime is 153146460517. The reversal of 153146460440 is 44064641351.

153146460440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 153146460394 and 153146460403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112607012 + ... + 112608371.

It is an arithmetic number, because the mean of its divisors is an integer number (11401528815).

Almost surely, 2^153146460440 is an apocalyptic number.

153146460440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153146460440 is an abundant number, since it is smaller than the sum of its proper divisors (211702461640).

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

153146460440 is a wasteful number, since it uses less digits than its factorization.

153146460440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225215411 (or 225215407 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 153146460440 in words is "one hundred fifty-three billion, one hundred forty-six million, four hundred sixty thousand, four hundred forty".