151138000 has 80 divisors (see below), whose sum is σ = 393631056. Its totient is φ = 55795200.

The previous prime is 151137979. The next prime is 151138049. The reversal of 151138000 is 831151.

It can be written as a sum of positive squares in 8 ways, for example, as 62853184 + 88284816 = 7928^2 + 9396^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23094 + ... + 28906.

Almost surely, 2^151138000 is an apocalyptic number.

151138000 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 151138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196815528).

151138000 is an abundant number, since it is smaller than the sum of its proper divisors (242493056).

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

151138000 is a wasteful number, since it uses less digits than its factorization.

151138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 151138000 is about 12293.8195854665. The cubic root of 151138000 is about 532.6695735663.

Adding to 151138000 its reverse (831151), we get a palindrome (151969151).

The spelling of 151138000 in words is "one hundred fifty-one million, one hundred thirty-eight thousand".