157446144 has 78 divisors (see below), whose sum is σ = 454895376. Its totient is φ = 52469760.

The previous prime is 157446139. The next prime is 157446151. The reversal of 157446144 is 441644751.

It is a happy number.

157446144 is a `hidden beast` number, since 1 + 574 + 46 + 1 + 44 = 666.

157446144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157446099 and 157446108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34729 + ... + 38999.

It is an arithmetic number, because the mean of its divisors is an integer number (5831992).

Almost surely, 2^157446144 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 157446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227447688).

157446144 is an abundant number, since it is smaller than the sum of its proper divisors (297449232).

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

157446144 is an equidigital number, since it uses as much as digits as its factorization.

157446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4276 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 157446144 is about 12547.7545401558. The cubic root of 157446144 is about 539.9795877058.

The spelling of 157446144 in words is "one hundred fifty-seven million, four hundred forty-six thousand, one hundred forty-four".