151194086736 has 640 divisors, whose sum is σ = 533547565056. Its totient is φ = 35695779840.

The previous prime is 151194086731. The next prime is 151194086737. The reversal of 151194086736 is 637680491151.

It is a happy number.

151194086736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151194086736² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151194086731) 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, 289089771 + ... + 289090293.

Almost surely, 2^151194086736 is an apocalyptic number.

151194086736 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 151194086736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266773782528).

151194086736 is an abundant number, since it is smaller than the sum of its proper divisors (382353478320).

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

151194086736 is a wasteful number, since it uses less digits than its factorization.

151194086736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 151194086736 in words is "one hundred fifty-one billion, one hundred ninety-four million, eighty-six thousand, seven hundred thirty-six".