151984140 has 192 divisors, whose sum is σ = 539578368. Its totient is φ = 31046400.

The previous prime is 151984127. The next prime is 151984141. The reversal of 151984140 is 41489151.

151984140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (151984141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309295 + ... + 309785.

It is an arithmetic number, because the mean of its divisors is an integer number (2810304).

Almost surely, 2^151984140 is an apocalyptic number.

151984140 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 151984140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269789184).

151984140 is an abundant number, since it is smaller than the sum of its proper divisors (387594228).

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

151984140 is a wasteful number, since it uses less digits than its factorization.

151984140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 151984140 is about 12328.1847812239. The cubic root of 151984140 is about 533.6617673224.

The spelling of 151984140 in words is "one hundred fifty-one million, nine hundred eighty-four thousand, one hundred forty".