150946740 has 384 divisors, whose sum is σ = 595123200. Its totient is φ = 31352832.

The previous prime is 150946709. The next prime is 150946753. The reversal of 150946740 is 47649051.

150946740 is a `hidden beast` number, since 150 + 9 + 467 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 150946695 and 150946704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5205046 + ... + 5205074.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 2^150946740 is an apocalyptic number.

150946740 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 150946740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600).

150946740 is an abundant number, since it is smaller than the sum of its proper divisors (444176460).

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

150946740 is a wasteful number, since it uses less digits than its factorization.

150946740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 150946740 is about 12286.0384176512. The cubic root of 150946740 is about 532.4447869752. Note that the first 3 decimals are identical.

The spelling of 150946740 in words is "one hundred fifty million, nine hundred forty-six thousand, seven hundred forty".