157986000 has 240 divisors, whose sum is σ = 564303168. Its totient is φ = 41184000.

The previous prime is 157985983. The next prime is 157986001. The reversal of 157986000 is 689751.

157986000 is a `hidden beast` number, since 1 + 579 + 86 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157986001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1205935 + ... + 1206065.

Almost surely, 2^157986000 is an apocalyptic number.

157986000 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 157986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282151584).

157986000 is an abundant number, since it is smaller than the sum of its proper divisors (406317168).

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

157986000 is a wasteful number, since it uses less digits than its factorization.

157986000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 157986000 is about 12569.2481875409. The cubic root of 157986000 is about 540.5960496598.

The spelling of 157986000 in words is "one hundred fifty-seven million, nine hundred eighty-six thousand".