151021200 has 240 divisors, whose sum is σ = 559624896. Its totient is φ = 34406400.

The previous prime is 151021153. The next prime is 151021201. The reversal of 151021200 is 2120151.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×151021200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (151021201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224064 + ... + 224736.

Almost surely, 2^151021200 is an apocalyptic number.

151021200 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 151021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279812448).

151021200 is an abundant number, since it is smaller than the sum of its proper divisors (408603696).

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

151021200 is a wasteful number, since it uses less digits than its factorization.

151021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 151021200 is about 12289.0683129357. The cubic root of 151021200 is about 532.5323218715.

Adding to 151021200 its reverse (2120151), we get a palindrome (153141351).

The spelling of 151021200 in words is "one hundred fifty-one million, twenty-one thousand, two hundred".