151122751244500 has 576 divisors, whose sum is σ = 399861913651200. Its totient is φ = 49871808000000.

The previous prime is 151122751244497. The next prime is 151122751244503. The reversal of 151122751244500 is 5442157221151.

It is an interprime number because it is at equal distance from previous prime (151122751244497) and next prime (151122751244503).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151122751244503) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31808617125 + ... + 31808621875.

It is an arithmetic number, because the mean of its divisors is an integer number (694204711200).

Almost surely, 2^{151122751244500} is an apocalyptic number.

151122751244500 is a gapful number since it is divisible by the number (10) 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 151122751244500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199930956825600).

151122751244500 is an abundant number, since it is smaller than the sum of its proper divisors (248739162406700).

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

151122751244500 is a wasteful number, since it uses less digits than its factorization.

151122751244500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 151122751244500 in words is "one hundred fifty-one trillion, one hundred twenty-two billion, seven hundred fifty-one million, two hundred forty-four thousand, five hundred".