153019868352 has 336 divisors, whose sum is σ = 450749712672. Its totient is φ = 45776240640.

The previous prime is 153019868341. The next prime is 153019868363. The reversal of 153019868352 is 253868910351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (153019868341) and next prime (153019868363).

It is a super-2 number, since 2×153019868352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153019868295 and 153019868304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191994418 + ... + 191995214.

It is an arithmetic number, because the mean of its divisors is an integer number (1341517002).

Almost surely, 2^153019868352 is an apocalyptic number.

153019868352 is a gapful number since it is divisible by the number (12) 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 153019868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225374856336).

153019868352 is an abundant number, since it is smaller than the sum of its proper divisors (297729844320).

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

153019868352 is a wasteful number, since it uses less digits than its factorization.

153019868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 153019868352 in words is "one hundred fifty-three billion, nineteen million, eight hundred sixty-eight thousand, three hundred fifty-two".