151021920 has 144 divisors (see below), whose sum is σ = 553473648. Its totient is φ = 34513920.

The previous prime is 151021877. The next prime is 151021957. The reversal of 151021920 is 29120151.

It is a super-3 number, since 3×151021920³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20310 + ... + 26730.

It is an arithmetic number, because the mean of its divisors is an integer number (3843567).

Almost surely, 2^151021920 is an apocalyptic number.

151021920 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 151021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276736824).

151021920 is an abundant number, since it is smaller than the sum of its proper divisors (402451728).

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

151021920 is a wasteful number, since it uses less digits than its factorization.

151021920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 151021920 is about 12289.0976072289. The cubic root of 151021920 is about 532.5331681604.

The spelling of 151021920 in words is "one hundred fifty-one million, twenty-one thousand, nine hundred twenty".