157344405120 has 768 divisors, whose sum is σ = 677927577600. Its totient is φ = 34067091456.

The previous prime is 157344405103. The next prime is 157344405143. The reversal of 157344405120 is 21504443751.

157344405120 is a `hidden beast` number, since 1 + 573 + 44 + 40 + 5 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20680357 + ... + 20687963.

It is an arithmetic number, because the mean of its divisors is an integer number (882718200).

Almost surely, 2^157344405120 is an apocalyptic number.

157344405120 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 157344405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338963788800).

157344405120 is an abundant number, since it is smaller than the sum of its proper divisors (520583172480).

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

157344405120 is an equidigital number, since it uses as much as digits as its factorization.

157344405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7667 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 157344405120 its reverse (21504443751), we get a palindrome (178848848871).

The spelling of 157344405120 in words is "one hundred fifty-seven billion, three hundred forty-four million, four hundred five thousand, one hundred twenty".