157123782547200 has 3456 divisors, whose sum is σ = 709631380684800. Its totient is φ = 33239973888000.

The previous prime is 157123782547129. The next prime is 157123782547211. The reversal of 157123782547200 is 2745287321751.

157123782547200 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 2 + 3 + 78 + 2 + 547 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 158550738705 + ... + 158550739695.

Almost surely, 2^{157123782547200} is an apocalyptic number.

157123782547200 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 157123782547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354815690342400).

157123782547200 is an abundant number, since it is smaller than the sum of its proper divisors (552507598137600).

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

157123782547200 is a wasteful number, since it uses less digits than its factorization.

157123782547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 157123782547200 in words is "one hundred fifty-seven trillion, one hundred twenty-three billion, seven hundred eighty-two million, five hundred forty-seven thousand, two hundred".