1457641152 has 168 divisors, whose sum is σ = 4715652240. Its totient is φ = 426424320.

The previous prime is 1457641121. The next prime is 1457641193. The reversal of 1457641152 is 2511467541.

1457641152 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 641 + 1 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179778 + ... + 187710.

Almost surely, 2^1457641152 is an apocalyptic number.

1457641152 is a gapful number since it is divisible by the number (12) 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 1457641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357826120).

1457641152 is an abundant number, since it is smaller than the sum of its proper divisors (3258011088).

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

1457641152 is a wasteful number, since it uses less digits than its factorization.

1457641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7978 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 1457641152 is about 38179.0669346436. The cubic root of 1457641152 is about 1133.8359084349.

The spelling of 1457641152 in words is "one billion, four hundred fifty-seven million, six hundred forty-one thousand, one hundred fifty-two".