157838751 has 36 divisors (see below), whose sum is σ = 269000784. Its totient is φ = 88923240.

The previous prime is 157838749. The next prime is 157838753.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

157838751 is a `hidden beast` number, since 1 + 578 + 3 + 8 + 75 + 1 = 666.

157838751 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (157838749) and next prime (157838753).

It is not a de Polignac number, because 157838751 - 2¹ = 157838749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157838697 and 157838706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157838753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2223046 + ... + 2223116.

It is an arithmetic number, because the mean of its divisors is an integer number (7472244).

Almost surely, 2^157838751 is an apocalyptic number.

157838751 is a deficient number, since it is larger than the sum of its proper divisors (111162033).

157838751 is an frugal number, since it uses more digits than its factorization.

157838751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 81 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The square root of 157838751 is about 12563.3893118060. The cubic root of 157838751 is about 540.4280453824.

The spelling of 157838751 in words is "one hundred fifty-seven million, eight hundred thirty-eight thousand, seven hundred fifty-one".