157575840 has 48 divisors (see below), whose sum is σ = 496365408. Its totient is φ = 42020096.

The previous prime is 157575827. The next prime is 157575851. The reversal of 157575840 is 48575751.

157575840 is digitally balanced in base 3, because in such base 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 (48).

It is a super-3 number, since 3×157575840³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157575792 and 157575801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163662 + ... + 164621.

It is an arithmetic number, because the mean of its divisors is an integer number (10340946).

Almost surely, 2^157575840 is an apocalyptic number.

157575840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157575840 is an abundant number, since it is smaller than the sum of its proper divisors (338789568).

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

157575840 is a wasteful number, since it uses less digits than its factorization.

157575840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328301 (or 328293 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 42.

The square root of 157575840 is about 12552.9215722875. The cubic root of 157575840 is about 540.1278161089.

The spelling of 157575840 in words is "one hundred fifty-seven million, five hundred seventy-five thousand, eight hundred forty".