151983000 has 256 divisors, whose sum is σ = 568713600. Its totient is φ = 37324800.

The previous prime is 151982983. The next prime is 151983019. The reversal of 151983000 is 389151.

It is a super-3 number, since 3×151983000³ (a number of 26 digits) contains 333 as substring.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350784 + ... + 351216.

Almost surely, 2^151983000 is an apocalyptic number.

151983000 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 151983000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

151983000 is an abundant number, since it is smaller than the sum of its proper divisors (416730600).

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

151983000 is a wasteful number, since it uses less digits than its factorization.

151983000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

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

The square root of 151983000 is about 12328.1385456199. The cubic root of 151983000 is about 533.6604330254.

The spelling of 151983000 in words is "one hundred fifty-one million, nine hundred eighty-three thousand".