153981000 has 160 divisors (see below), whose sum is σ = 538532280. Its totient is φ = 41040000.

The previous prime is 153980989. The next prime is 153981011. The reversal of 153981000 is 189351.

It is an interprime number because it is at equal distance from previous prime (153980989) and next prime (153981011).

It can be written as a sum of positive squares in 4 ways, for example, as 15824484 + 138156516 = 3978^2 + 11754^2 .

It is a super-2 number, since 2×153981000² = 47420296722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80050 + ... + 81950.

Almost surely, 2^153981000 is an apocalyptic number.

153981000 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 153981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269266140).

153981000 is an abundant number, since it is smaller than the sum of its proper divisors (384551280).

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

153981000 is a wasteful number, since it uses less digits than its factorization.

153981000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 153981000 is about 12408.9080905614. The cubic root of 153981000 is about 535.9887964540.

The spelling of 153981000 in words is "one hundred fifty-three million, nine hundred eighty-one thousand".