150070814733840 has 1280 divisors, whose sum is σ = 658672642252800. Its totient is φ = 27221424537600.

The previous prime is 150070814733817. The next prime is 150070814733881. The reversal of 150070814733840 is 48337418070051.

It is a super-2 number, since 2×150070814733840² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2597205750 + ... + 2597263530.

It is an arithmetic number, because the mean of its divisors is an integer number (514588001760).

Almost surely, 2^{150070814733840} is an apocalyptic number.

150070814733840 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 150070814733840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329336321126400).

150070814733840 is an abundant number, since it is smaller than the sum of its proper divisors (508601827518960).

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

150070814733840 is a wasteful number, since it uses less digits than its factorization.

150070814733840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58416 (or 58410 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 150070814733840 in words is "one hundred fifty trillion, seventy billion, eight hundred fourteen million, seven hundred thirty-three thousand, eight hundred forty".