151649820 has 240 divisors, whose sum is σ = 558125568. Its totient is φ = 33747840.

The previous prime is 151649807. The next prime is 151649851. The reversal of 151649820 is 28946151.

151649820 is a `hidden beast` number, since 1 + 5 + 1 + 649 + 8 + 2 + 0 = 666.

151649820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

151649820 is a nontrivial binomial coefficient, being equal to C(17416, 2).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 487465 + ... + 487775.

Almost surely, 2^151649820 is an apocalyptic number.

151649820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151649820 is the 17415-th triangular number and also the 8708-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151649820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279062784).

151649820 is an abundant number, since it is smaller than the sum of its proper divisors (406475748).

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

151649820 is a wasteful number, since it uses less digits than its factorization.

151649820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 151649820 is about 12314.6181426790. The cubic root of 151649820 is about 533.2701808904.

The spelling of 151649820 in words is "one hundred fifty-one million, six hundred forty-nine thousand, eight hundred twenty".