157728480 has 384 divisors, whose sum is σ = 642152448. Its totient is φ = 31629312.

The previous prime is 157728479. The next prime is 157728491. The reversal of 157728480 is 84827751.

It is a Cunningham number, because it is equal to 12559²-1.

It is a super-2 number, since 2×157728480² = 49756546806220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 785 × 273 × 736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004562 + ... + 1004718.

It is an arithmetic number, because the mean of its divisors is an integer number (1672272).

Almost surely, 2^157728480 is an apocalyptic number.

157728480 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 157728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321076224).

157728480 is an abundant number, since it is smaller than the sum of its proper divisors (484423968).

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

157728480 is a wasteful number, since it uses less digits than its factorization.

157728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 157728480 is about 12558.9999601879. Note that the first 4 decimals coincide. The cubic root of 157728480 is about 540.3021628516.

The spelling of 157728480 in words is "one hundred fifty-seven million, seven hundred twenty-eight thousand, four hundred eighty".