157314633719040 has 3240 divisors, whose sum is σ = 713630521562112. Its totient is φ = 32954334658560.

The previous prime is 157314633718999. The next prime is 157314633719053. The reversal of 157314633719040 is 40917336413751.

It is a happy number.

157314633719040 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 146 + 3 + 371 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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 359 ways as a sum of consecutive naturals, for example, 56853859737 + ... + 56853862503.

Almost surely, 2^{157314633719040} is an apocalyptic number.

157314633719040 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 157314633719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356815260781056).

157314633719040 is an abundant number, since it is smaller than the sum of its proper divisors (556315887843072).

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

157314633719040 is a wasteful number, since it uses less digits than its factorization.

157314633719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 157314633719040 in words is "one hundred fifty-seven trillion, three hundred fourteen billion, six hundred thirty-three million, seven hundred nineteen thousand, forty".