151553100 has 72 divisors (see below), whose sum is σ = 439971840. Its totient is φ = 40278080.

The previous prime is 151553081. The next prime is 151553111. The reversal of 151553100 is 1355151.

It is a super-2 number, since 2×151553100² = 45936684239220000, which contains 22 as substring.

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, 114241 + ... + 115559.

It is an arithmetic number, because the mean of its divisors is an integer number (6110720).

Almost surely, 2^151553100 is an apocalyptic number.

151553100 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 151553100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

151553100 is an abundant number, since it is smaller than the sum of its proper divisors (288418740).

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

151553100 is a wasteful number, since it uses less digits than its factorization.

151553100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 151553100 is about 12310.6904761675. The cubic root of 151553100 is about 533.1567861828.

It can be divided in two parts, 1515 and 53100, that added together give a triangular number (54615 = T₃₃₀).

The spelling of 151553100 in words is "one hundred fifty-one million, five hundred fifty-three thousand, one hundred".