150537000 has 192 divisors, whose sum is σ = 499262400. Its totient is φ = 37756800.

The previous prime is 150536963. The next prime is 150537029. The reversal of 150537000 is 735051.

It is a happy number.

It is a super-2 number, since 2×150537000² = 45322776738000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082931 + ... + 1083069.

It is an arithmetic number, because the mean of its divisors is an integer number (2600325).

Almost surely, 2^150537000 is an apocalyptic number.

150537000 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 150537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631200).

150537000 is an abundant number, since it is smaller than the sum of its proper divisors (348725400).

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

150537000 is a wasteful number, since it uses less digits than its factorization.

150537000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 150537000 is about 12269.3520611318. The cubic root of 150537000 is about 531.9625824024.

The spelling of 150537000 in words is "one hundred fifty million, five hundred thirty-seven thousand".