153198137856 has 320 divisors, whose sum is σ = 451750514688. Its totient is φ = 45929791488.

The previous prime is 153198137849. The next prime is 153198137893. The reversal of 153198137856 is 658731891351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 153198137796 and 153198137805.

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 31 ways as a sum of consecutive naturals, for example, 52770901 + ... + 52773803.

Almost surely, 2^153198137856 is an apocalyptic number.

153198137856 is a gapful number since it is divisible by the number (16) 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 153198137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225875257344).

153198137856 is an abundant number, since it is smaller than the sum of its proper divisors (298552376832).

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

153198137856 is a wasteful number, since it uses less digits than its factorization.

153198137856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3015 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The spelling of 153198137856 in words is "one hundred fifty-three billion, one hundred ninety-eight million, one hundred thirty-seven thousand, eight hundred fifty-six".