151938000 has 240 divisors, whose sum is σ = 555250176. Its totient is φ = 38649600.

The previous prime is 151937999. The next prime is 151938013. The reversal of 151938000 is 839151.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413817 + ... + 414183.

Almost surely, 2^151938000 is an apocalyptic number.

151938000 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 151938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277625088).

151938000 is an abundant number, since it is smaller than the sum of its proper divisors (403312176).

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

151938000 is a wasteful number, since it uses less digits than its factorization.

151938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

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

The square root of 151938000 is about 12326.3133174522. The cubic root of 151938000 is about 533.6077580771.

The spelling of 151938000 in words is "one hundred fifty-one million, nine hundred thirty-eight thousand".