151727781744 has 640 divisors, whose sum is σ = 578920089600. Its totient is φ = 36833771520.

The previous prime is 151727781731. The next prime is 151727781767. The reversal of 151727781744 is 447187727151.

151727781744 is a `hidden beast` number, since 1 + 517 + 2 + 7 + 7 + 81 + 7 + 44 = 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 127 ways as a sum of consecutive naturals, for example, 88780762 + ... + 88782470.

It is an arithmetic number, because the mean of its divisors is an integer number (904562640).

Almost surely, 2^151727781744 is an apocalyptic number.

151727781744 is a gapful number since it is divisible by the number (14) 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 151727781744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289460044800).

151727781744 is an abundant number, since it is smaller than the sum of its proper divisors (427192307856).

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

151727781744 is a wasteful number, since it uses less digits than its factorization.

151727781744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1906 counting only the distinct ones).

The product of its digits is 3073280, while the sum is 54.

The spelling of 151727781744 in words is "one hundred fifty-one billion, seven hundred twenty-seven million, seven hundred eighty-one thousand, seven hundred forty-four".