151040400 has 120 divisors (see below), whose sum is σ = 552982464. Its totient is φ = 34521600.

The previous prime is 151040399. The next prime is 151040419. The reversal of 151040400 is 4040151.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 151040400.

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, 591 + ... + 17390.

Almost surely, 2^151040400 is an apocalyptic number.

151040400 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 151040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276491232).

151040400 is an abundant number, since it is smaller than the sum of its proper divisors (401942064).

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

151040400 is a wasteful number, since it uses less digits than its factorization.

151040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18009 (or 17998 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 151040400 is about 12289.8494701929. The cubic root of 151040400 is about 532.5548886531.

Adding to 151040400 its reverse (4040151), we get a palindrome (155080551).

The spelling of 151040400 in words is "one hundred fifty-one million, forty thousand, four hundred".