157127040 has 320 divisors, whose sum is σ = 642771360. Its totient is φ = 35831808.

The previous prime is 157127027. The next prime is 157127057. The reversal of 157127040 is 40721751.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 157126995 and 157127013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362664 + ... + 363096.

Almost surely, 2^157127040 is an apocalyptic number.

157127040 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 157127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321385680).

157127040 is an abundant number, since it is smaller than the sum of its proper divisors (485644320).

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

157127040 is an equidigital number, since it uses as much as digits as its factorization.

157127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 157127040 is about 12535.0325089327. The cubic root of 157127040 is about 539.6145397328.

Adding to 157127040 its reverse (40721751), we get a palindrome (197848791).

The spelling of 157127040 in words is "one hundred fifty-seven million, one hundred twenty-seven thousand, forty".