151638723250560 has 4608 divisors, whose sum is σ = 733567319654400. Its totient is φ = 29308627353600.

The previous prime is 151638723250523. The next prime is 151638723250603. The reversal of 151638723250560 is 65052327836151.

151638723250560 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 3 + 8 + 7 + 23 + 2 + 50 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 151638723250497 and 151638723250506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 123183365145 + ... + 123183366375.

It is an arithmetic number, because the mean of its divisors is an integer number (159194296800).

Almost surely, 2^{151638723250560} is an apocalyptic number.

151638723250560 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 151638723250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366783659827200).

151638723250560 is an abundant number, since it is smaller than the sum of its proper divisors (581928596403840).

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

151638723250560 is a wasteful number, since it uses less digits than its factorization.

151638723250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 151638723250560 in words is "one hundred fifty-one trillion, six hundred thirty-eight billion, seven hundred twenty-three million, two hundred fifty thousand, five hundred sixty".