157258464 has 96 divisors (see below), whose sum is σ = 454035456. Its totient is φ = 47262720.

The previous prime is 157258463. The next prime is 157258469. The reversal of 157258464 is 464852751.

It is a happy number.

157258464 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157258463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144129 + ... + 145215.

It is an arithmetic number, because the mean of its divisors is an integer number (4729536).

Almost surely, 2^157258464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157258464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227017728).

157258464 is an abundant number, since it is smaller than the sum of its proper divisors (296776992).

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

157258464 is a wasteful number, since it uses less digits than its factorization.

157258464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1240 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 157258464 is about 12540.2736812240. The cubic root of 157258464 is about 539.7649457100.

The spelling of 157258464 in words is "one hundred fifty-seven million, two hundred fifty-eight thousand, four hundred sixty-four".