157075813440 has 1344 divisors, whose sum is σ = 714124454400. Its totient is φ = 31612944384.

The previous prime is 157075813417. The next prime is 157075813459. The reversal of 157075813440 is 44318570751.

157075813440 is a `hidden beast` number, since 1 + 570 + 7 + 5 + 8 + 1 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×157075813440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1892479639 + ... + 1892479721.

It is an arithmetic number, because the mean of its divisors is an integer number (531342600).

Almost surely, 2^157075813440 is an apocalyptic number.

157075813440 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 157075813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357062227200).

157075813440 is an abundant number, since it is smaller than the sum of its proper divisors (557048640960).

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

157075813440 is a wasteful number, since it uses less digits than its factorization.

157075813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 157075813440 in words is "one hundred fifty-seven billion, seventy-five million, eight hundred thirteen thousand, four hundred forty".