157834000 has 80 divisors (see below), whose sum is σ = 389104560. Its totient is φ = 61900800.

The previous prime is 157833997. The next prime is 157834003. The reversal of 157834000 is 438751.

It is an interprime number because it is at equal distance from previous prime (157833997) and next prime (157834003).

It can be written as a sum of positive squares in 8 ways, for example, as 56791296 + 101042704 = 7536^2 + 10052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 157834000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157834003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105256 + ... + 106744.

It is an arithmetic number, because the mean of its divisors is an integer number (4863807).

Almost surely, 2^157834000 is an apocalyptic number.

157834000 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 157834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194552280).

157834000 is an abundant number, since it is smaller than the sum of its proper divisors (231270560).

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

157834000 is a wasteful number, since it uses less digits than its factorization.

157834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 157834000 is about 12563.2002292410. The cubic root of 157834000 is about 540.4226229721.

The spelling of 157834000 in words is "one hundred fifty-seven million, eight hundred thirty-four thousand".