153970836320 has 192 divisors, whose sum is σ = 421413632640. Its totient is φ = 52071579648.

The previous prime is 153970836287. The next prime is 153970836329. The reversal of 153970836320 is 23638079351.

It is a super-2 number, since 2×153970836320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153970836329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28441934 + ... + 28447346.

It is an arithmetic number, because the mean of its divisors is an integer number (2194862670).

Almost surely, 2^153970836320 is an apocalyptic number.

153970836320 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 153970836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210706816320).

153970836320 is an abundant number, since it is smaller than the sum of its proper divisors (267442796320).

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

153970836320 is a wasteful number, since it uses less digits than its factorization.

153970836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 153970836320 in words is "one hundred fifty-three billion, nine hundred seventy million, eight hundred thirty-six thousand, three hundred twenty".