151622100 has 216 divisors, whose sum is σ = 557339328. Its totient is φ = 33753600.

The previous prime is 151622087. The next prime is 151622101. The reversal of 151622100 is 1226151.

It is a super-2 number, since 2×151622100² = 45978522416820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151622101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258007 + ... + 258593.

Almost surely, 2^151622100 is an apocalyptic number.

151622100 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 151622100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278669664).

151622100 is an abundant number, since it is smaller than the sum of its proper divisors (405717228).

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

151622100 is a wasteful number, since it uses less digits than its factorization.

151622100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 151622100 is about 12313.4925995836. The cubic root of 151622100 is about 533.2376868411.

Adding to 151622100 its reverse (1226151), we get a palindrome (152848251).

The spelling of 151622100 in words is "one hundred fifty-one million, six hundred twenty-two thousand, one hundred".