151649920 has 64 divisors (see below), whose sum is σ = 364580640. Its totient is φ = 60318720.

The previous prime is 151649909. The next prime is 151649929. The reversal of 151649920 is 29946151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 151649920.

It is not an unprimeable number, because it can be changed into a prime (151649929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134479 + ... + 135601.

Almost surely, 2^151649920 is an apocalyptic number.

151649920 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 151649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182290320).

151649920 is an abundant number, since it is smaller than the sum of its proper divisors (212930720).

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

151649920 is a wasteful number, since it uses less digits than its factorization.

151649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 151649920 is about 12314.6222028936. The cubic root of 151649920 is about 533.2702981056.

The spelling of 151649920 in words is "one hundred fifty-one million, six hundred forty-nine thousand, nine hundred twenty".