151635630 has 128 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 37094400.

The previous prime is 151635613. The next prime is 151635683. The reversal of 151635630 is 36536151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2485800 + ... + 2485860.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^151635630 is an apocalyptic number.

151635630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151635630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

151635630 is an abundant number, since it is smaller than the sum of its proper divisors (244339026).

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

151635630 is a wasteful number, since it uses less digits than its factorization.

151635630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 151635630 is about 12314.0419846613. The cubic root of 151635630 is about 533.2535475266.

The spelling of 151635630 in words is "one hundred fifty-one million, six hundred thirty-five thousand, six hundred thirty".