150779700 has 216 divisors, whose sum is σ = 502702200. Its totient is φ = 37739520.

The previous prime is 150779677. The next prime is 150779701. The reversal of 150779700 is 7977051.

It can be written as a sum of positive squares in 12 ways, for example, as 13749264 + 137030436 = 3708^2 + 11706^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150779701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1383246 + ... + 1383354.

It is an arithmetic number, because the mean of its divisors is an integer number (2327325).

Almost surely, 2^150779700 is an apocalyptic number.

150779700 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 150779700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251351100).

150779700 is an abundant number, since it is smaller than the sum of its proper divisors (351922500).

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

150779700 is a wasteful number, since it uses less digits than its factorization.

150779700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 15435, while the sum is 36.

The square root of 150779700 is about 12279.2385757424. The cubic root of 150779700 is about 532.2483106006.

The spelling of 150779700 in words is "one hundred fifty million, seven hundred seventy-nine thousand, seven hundred".