157254011712 has 1120 divisors, whose sum is σ = 589502707200. Its totient is φ = 40466055168.

The previous prime is 157254011687. The next prime is 157254011723. The reversal of 157254011712 is 217110452751.

It is a happy number.

157254011712 is a `hidden beast` number, since 1 + 572 + 5 + 4 + 0 + 11 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1766898964 + ... + 1766899052.

Almost surely, 2^157254011712 is an apocalyptic number.

157254011712 is a gapful number since it is divisible by the number (12) 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 157254011712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294751353600).

157254011712 is an abundant number, since it is smaller than the sum of its proper divisors (432248695488).

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

157254011712 is a wasteful number, since it uses less digits than its factorization.

157254011712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 157254011712 in words is "one hundred fifty-seven billion, two hundred fifty-four million, eleven thousand, seven hundred twelve".