151277435136 has 405 divisors, whose sum is σ = 470040560451. Its totient is φ = 48390856704.

The previous prime is 151277435129. The next prime is 151277435143. The reversal of 151277435136 is 631534772151.

The square root of 151277435136 is 388944.

It is a perfect power (a square), and thus also a powerful number.

151277435136 is a `hidden beast` number, since 1 + 5 + 12 + 77 + 435 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (151277435129) and next prime (151277435143).

It can be written as a sum of positive squares in 4 ways, for example, as 37735393536 + 113542041600 = 194256^2 + 336960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151277435091 and 151277435100.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2072293596 + ... + 2072293668.

Almost surely, 2^151277435136 is an apocalyptic number.

151277435136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

151277435136 is the 388944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151277435136

151277435136 is an abundant number, since it is smaller than the sum of its proper divisors (318763125315).

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

151277435136 is an frugal number, since it uses more digits than its factorization.

151277435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 115 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 151277435136 in words is "one hundred fifty-one billion, two hundred seventy-seven million, four hundred thirty-five thousand, one hundred thirty-six".