153461939696640 has 1408 divisors, whose sum is σ = 611796879360000. Its totient is φ = 36294022397952.

The previous prime is 153461939696633. The next prime is 153461939696677. The reversal of 153461939696640 is 46696939164351.

It is a happy number.

153461939696640 is a `hidden beast` number, since 1 + 5 + 3 + 461 + 9 + 3 + 9 + 69 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2839284336 + ... + 2839338384.

Almost surely, 2^{153461939696640} is an apocalyptic number.

153461939696640 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 153461939696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305898439680000).

153461939696640 is an abundant number, since it is smaller than the sum of its proper divisors (458334939663360).

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

153461939696640 is a wasteful number, since it uses less digits than its factorization.

153461939696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54172 (or 54148 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 72.

The spelling of 153461939696640 in words is "one hundred fifty-three trillion, four hundred sixty-one billion, nine hundred thirty-nine million, six hundred ninety-six thousand, six hundred forty".