151703841904128 has 960 divisors, whose sum is σ = 474839432331264. Its totient is φ = 48299037696000.

The previous prime is 151703841904049. The next prime is 151703841904171. The reversal of 151703841904128 is 821409148307151.

151703841904128 is a `hidden beast` number, since 1 + 5 + 1 + 7 + 0 + 38 + 4 + 190 + 412 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106608461625 + ... + 106608463047.

Almost surely, 2^{151703841904128} is an apocalyptic number.

151703841904128 is a gapful number since it is divisible by the number (18) 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 151703841904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237419716165632).

151703841904128 is an abundant number, since it is smaller than the sum of its proper divisors (323135590427136).

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

151703841904128 is a wasteful number, since it uses less digits than its factorization.

151703841904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 151703841904128 in words is "one hundred fifty-one trillion, seven hundred three billion, eight hundred forty-one million, nine hundred four thousand, one hundred twenty-eight".