150687936 has 252 divisors, whose sum is σ = 530763480. Its totient is φ = 40642560.

The previous prime is 150687919. The next prime is 150687937. The reversal of 150687936 is 639786051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 150687891 and 150687900.

It is not an unprimeable number, because it can be changed into a prime (150687937) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536116 + ... + 536396.

Almost surely, 2^150687936 is an apocalyptic number.

150687936 is a gapful number since it is divisible by the number (16) 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 150687936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265381740).

150687936 is an abundant number, since it is smaller than the sum of its proper divisors (380075544).

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

150687936 is a wasteful number, since it uses less digits than its factorization.

150687936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 150687936 is about 12275.5014561524. The cubic root of 150687936 is about 532.1403138665.

The spelling of 150687936 in words is "one hundred fifty million, six hundred eighty-seven thousand, nine hundred thirty-six".