157135567680 has 1680 divisors, whose sum is σ = 725176843776. Its totient is φ = 31979888640.

The previous prime is 157135567651. The next prime is 157135567691. The reversal of 157135567680 is 86765531751.

It is a happy number.

157135567680 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 3 + 556 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 511842087 + ... + 511842393.

Almost surely, 2^157135567680 is an apocalyptic number.

157135567680 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 157135567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362588421888).

157135567680 is an abundant number, since it is smaller than the sum of its proper divisors (568041276096).

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

157135567680 is a wasteful number, since it uses less digits than its factorization.

157135567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 157135567680 in words is "one hundred fifty-seven billion, one hundred thirty-five million, five hundred sixty-seven thousand, six hundred eighty".