151451991936 has 192 divisors, whose sum is σ = 498651953280. Its totient is φ = 43222201344.

The previous prime is 151451991919. The next prime is 151451991947. The reversal of 151451991936 is 639199154151.

151451991936 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 519 + 91 + 9 + 36 = 666.

151451991936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×151451991936² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7303695 + ... + 7324401.

It is an arithmetic number, because the mean of its divisors is an integer number (2597145590).

Almost surely, 2^151451991936 is an apocalyptic number.

151451991936 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 151451991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249325976640).

151451991936 is an abundant number, since it is smaller than the sum of its proper divisors (347199961344).

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

151451991936 is a wasteful number, since it uses less digits than its factorization.

151451991936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21641 (or 21626 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 54.

The spelling of 151451991936 in words is "one hundred fifty-one billion, four hundred fifty-one million, nine hundred ninety-one thousand, nine hundred thirty-six".