151920105605460 has 384 divisors, whose sum is σ = 483254994862080. Its totient is φ = 39611864678400.

The previous prime is 151920105605431. The next prime is 151920105605461. The reversal of 151920105605460 is 64506501029151.

151920105605460 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 20 + 1 + 0 + 560 + 5 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151920105605461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19140742612 + ... + 19140750548.

It is an arithmetic number, because the mean of its divisors is an integer number (1258476549120).

Almost surely, 2^{151920105605460} is an apocalyptic number.

151920105605460 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 151920105605460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241627497431040).

151920105605460 is an abundant number, since it is smaller than the sum of its proper divisors (331334889256620).

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

151920105605460 is a wasteful number, since it uses less digits than its factorization.

151920105605460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12076 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 151920105605460 in words is "one hundred fifty-one trillion, nine hundred twenty billion, one hundred five million, six hundred five thousand, four hundred sixty".