151218791136 has 1344 divisors, whose sum is σ = 590182225920. Its totient is φ = 37085921280.

The previous prime is 151218791111. The next prime is 151218791137. The reversal of 151218791136 is 631197812151.

151218791136 is a `hidden beast` number, since 1 + 512 + 18 + 7 + 9 + 113 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151218791091 and 151218791100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151218791137) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2478996546 + ... + 2478996606.

It is an arithmetic number, because the mean of its divisors is an integer number (439123680).

Almost surely, 2^151218791136 is an apocalyptic number.

151218791136 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 151218791136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295091112960).

151218791136 is an abundant number, since it is smaller than the sum of its proper divisors (438963434784).

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

151218791136 is a wasteful number, since it uses less digits than its factorization.

151218791136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The spelling of 151218791136 in words is "one hundred fifty-one billion, two hundred eighteen million, seven hundred ninety-one thousand, one hundred thirty-six".