151051777536 has 640 divisors, whose sum is σ = 476159523840. Its totient is φ = 42113433600.

The previous prime is 151051777519. The next prime is 151051777549. The reversal of 151051777536 is 635777150151.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1466522061 + ... + 1466522163.

It is an arithmetic number, because the mean of its divisors is an integer number (743999256).

Almost surely, 2^151051777536 is an apocalyptic number.

151051777536 is a gapful number since it is divisible by the number (16) 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 151051777536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238079761920).

151051777536 is an abundant number, since it is smaller than the sum of its proper divisors (325107746304).

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

151051777536 is a wasteful number, since it uses less digits than its factorization.

151051777536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 48.

The spelling of 151051777536 in words is "one hundred fifty-one billion, fifty-one million, seven hundred seventy-seven thousand, five hundred thirty-six".