157775040 has 168 divisors, whose sum is σ = 563057040. Its totient is φ = 42052608.

The previous prime is 157774997. The next prime is 157775063. The reversal of 157775040 is 40577751.

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 = 157774986 and 157775004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76746 + ... + 78774.

It is an arithmetic number, because the mean of its divisors is an integer number (3351530).

Almost surely, 2^157775040 is an apocalyptic number.

157775040 is a gapful number since it is divisible by the number (10) 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 157775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281528520).

157775040 is an abundant number, since it is smaller than the sum of its proper divisors (405282000).

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

157775040 is an equidigital number, since it uses as much as digits as its factorization.

157775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 157775040 is about 12560.8534741872. The cubic root of 157775040 is about 540.3553217015.

The spelling of 157775040 in words is "one hundred fifty-seven million, seven hundred seventy-five thousand, forty".