157763536 has 160 divisors (see below), whose sum is σ = 401760000. Its totient is φ = 59609088.

The previous prime is 157763527. The next prime is 157763539. The reversal of 157763536 is 635367751.

It is a happy number.

157763536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157763492 and 157763501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157763539) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772580 + ... + 1772668.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2^157763536 is an apocalyptic number.

157763536 is a gapful number since it is divisible by the number (16) 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 157763536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880000).

157763536 is an abundant number, since it is smaller than the sum of its proper divisors (243996464).

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

157763536 is a wasteful number, since it uses less digits than its factorization.

157763536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its digits is 396900, while the sum is 43.

The square root of 157763536 is about 12560.3955351732. The cubic root of 157763536 is about 540.3421882369.

The spelling of 157763536 in words is "one hundred fifty-seven million, seven hundred sixty-three thousand, five hundred thirty-six".