151835766001920 has 3456 divisors, whose sum is σ = 746806064578560. Its totient is φ = 28709904384000.

The previous prime is 151835766001883. The next prime is 151835766001939. The reversal of 151835766001920 is 29100667538151.

151835766001920 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 3 + 5 + 7 + 6 + 600 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17193491905 + ... + 17193500735.

It is an arithmetic number, because the mean of its divisors is an integer number (216089717760).

Almost surely, 2^{151835766001920} is an apocalyptic number.

151835766001920 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 151835766001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373403032289280).

151835766001920 is an abundant number, since it is smaller than the sum of its proper divisors (594970298576640).

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

151835766001920 is a wasteful number, since it uses less digits than its factorization.

151835766001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8970 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 151835766001920 in words is "one hundred fifty-one trillion, eight hundred thirty-five billion, seven hundred sixty-six million, one thousand, nine hundred twenty".